Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Savin, Anton Yurievich

Total publications: 102 (102)
in MathSciNet: 90 (90)
in zbMATH: 70 (70)
in Web of Science: 61 (61)
in Scopus: 71 (71)
Cited articles: 65
Citations: 261
Presentations: 29

Number of views:
This page:6065
Abstract pages:9444
Full texts:3236
References:1070
Doctor of physico-mathematical sciences (2012)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 29.07.1975
E-mail:
Keywords: elliptic operators, index theorems, noncommutative geometry, K-theory, characteristic classes, boundary value problems for elliptic operators, index, stratified manifold, operators with shifts.
UDC: 515.168.5, 517.956.22, 517.9, 517.986.32
MSC: 58j20, 58j28, 58j32, 19k56, 19k33, 35j55

Biography

Graduated from the Moscow State University in 1997 (Faculty of computational mathematics and cybernetics, department of nonlinear dynamical systems and control processing). I defended my Ph.D. thesis in 2000. I have over 75 publications, including 3 monographs.

   
Main publications:
  1. A. Yu. Savin, “On the index of elliptic operators associated with a diffeomorphism of a manifold”, Dokl. Math., 82:3 (2010), 884-886  crossref  mathscinet  zmath  isi  elib  scopus
  2. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, Elliptic theory and noncommutative geometry. Nonlocal elliptic operators, Birkhäuser, Basel, 2008 , 224 pp.  crossref  mathscinet  zmath  isi
  3. V.E. Nazaikinskii, A.Yu. Savin, B.-W. Schulze, B.Yu. Sternin, Elliptic theory on singular manifolds, Chapman & Hall/CRC, Boca Raton, FL, 2006 , 356 pp.  mathscinet  zmath  isi
  4. A. Savin, “Elliptic operators on manifolds with singularities and $K$-homology”, K-Theory, 34:1 (2005), 71-98  crossref  mathscinet  zmath  isi  elib  scopus
  5. A. Savin, B. Sternin, “The eta invariant and parity conditions”, Adv. Math., 182:2 (2004), 173–203  crossref  mathscinet  zmath  isi  scopus

https://www.mathnet.ru/eng/person8671
https://scholar.google.com/citations?user=6VfUMSEAAAAJ&hl=en
https://zbmath.org/authors/?q=ai:savin.anton-yu
https://mathscinet.ams.org/mathscinet/MRAuthorID/637800
https://elibrary.ru/author_items.asp?spin=5029-6159
https://www.scopus.com/authid/detail.url?authorId=7103295692
https://arxiv.org/a/savin_a_1

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. Math. Notes, 116:2 (2024), 139–167  mathnet  crossref

   2023
2. A. V. Boltachev, A. Yu. Savin, “Trajectory symbols and the Fredholm property of boundary value problems for differential operators with shifts”, Russ. J. Math. Phys., 30:2 (2023), 135–151  crossref  mathscinet 1
3. A. Savin, E. Schrohe, “Trace expansions and equivariant traces on an algebra of Fourier integral operators on Rn”, Cyclic cohomology at 40: achievements and future prospects, Proc. Sympos. Pure Math., 105, AMS, 2023, 457–476  crossref  mathscinet 1
4. A. Yu. Savin, E. N. Semenova, “A spectral Sobolev problem for the biharmonic operator”, Lobachevskii J. Math., 44:3 (2023), 950–955  crossref  mathscinet 2
5. Math. Notes, 114:5 (2023), 1087–1091  mathnet  crossref  crossref  scopus
6. K. N. Zhuikov, A. Yu. Savin, “Eta-invariant of elliptic parameter-dependent boundary-value problems”, CMFD, 69, no. 4, PFUR, M., 2023, 599–620  mathnet  crossref

   2022
7. A. Baldare, V. E. Nazaikinskii, A. Yu. Savin, E. Schrohe, “$C^*$-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators”, Math. Notes, 111:5 (2022), 701–721  mathnet  crossref  crossref  mathscinet  scopus
8. K. N. Zhuikov, A. Yu. Savin, “Eta-Invariants for Parameter-Dependent Operators Associated with an Action of a Discrete Group”, Math. Notes, 112:5 (2022), 685–696  mathnet  crossref  crossref  mathscinet  scopus
9. K. N. Zhuikov, A. Yu. Savin, “Eta-invariant for parameter-dependent families with periodic coefficients”, Ufa Math. J., 14:2 (2022), 35–55  mathnet  crossref  mathscinet
10. N. R. Izvarina, A. Yu. Savin, “An Atiyah-Bott-Lefschetz theorem for relative elliptic complexes”, Lobachevskii J. Math., 43:10 (2022), 2675–2684  crossref  mathscinet
11. A. V. Boltachev, A. Yu. Savin, “Index of twisted elliptic boundary value problems associated with isometric group actions”, Lobachevskii J. Math., 43:10 (2022), 2635–2646  crossref  mathscinet
12. V. E. Nazaikinskii, A. Yu. Savin, “On semiclassical asymptotics for nonlocal equations”, Russ. J. Math. Phys., 29:4 (2022), 568–575  crossref  mathscinet
13. A. V. Boltachev, A. Yu. Savin, “Periodic cyclic cocycles on the Boutet de Monvel symbol algebra”, Russ. J. Math. Phys., 29:4 (2022), 417–425  crossref  mathscinet
14. A. Savin, E. Schrohe, “Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group”, Adv. Math., 409, Part A (2022), 108624 , 37 pp.  crossref  mathscinet 2
15. A. Savin, E. Schrohe, “An index formula for groups of isometric linear canonical transformations”, Doc. Math., 27 (2022), 983–1013  crossref  mathscinet

   2021
16. A. Yu. Savin, K. N. Zhuikov, “$\eta$-Invariant and index for operators on the real line periodic at infinity”, Eurasian Math. J., 12:3 (2021), 57–77  mathnet  crossref  mathscinet  isi  scopus; 2

   2020
17. A. Savin, E. Schrohe, “Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations”, Journal of Functional Analysis, 278:5 (2020), 108400 , 45 pp.  crossref  mathscinet  zmath  isi  scopus 9
18. N. R. Izvarina, A. Yu. Savin, “Complexes in relative elliptic theory”, Eurasian Math. J., 11:4 (2020), 45–57  mathnet  crossref  mathscinet  isi  scopus;  mathscinet 1

   2019
19. D. A. Poluektova, A. Yu. Savin, B. Yu. Sternin, “On the algebra of operators corresponding to the union of smooth submanifolds”, Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University, CMFD, 65, no. 4, PFUR, M., 2019, 672–682  mathnet  crossref  mathscinet
20. V. E. Nazaikinskii, A. Yu. Savin, P. A. Sipailo, “Sobolev Problems with Spherical Mean Conditions and Traces of Quantized Canonical Transformations”, Russian Journal of Mathematical Physics, 26 (2019), 483–498  crossref  mathscinet  zmath  adsnasa  isi  scopus
21. A. Savin, E. Schrohe, B. Sternin, “Elliptic operators associated with groups of quantized canonical transformations”, Bull. Sci. Math., 155 (2019), 141–167  crossref  mathscinet  isi  scopus 7

   2018
22. A. Yu. Savin, B. Yu. Sternin, E. Schrohe, “Elliptic operators associated with groups of quantized canonical transformations”, Russian Math. Surveys, 73:3 (2018), 546–548  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
23. A. Yu. Savin, “On homotopic classification of elliptic problems with contractions and $K$-groups of corresponding $C^*$-algebras”, CMFD, 64, no. 1, 2018, 164–179  mathnet  crossref  mathscinet

   2017
24. A. Savin, B. Sternin, Introduction to complex theory of differential equations, Birkhäuser, Basel, 2017 , 1-128 pp.  crossref  zmath  isi 2
25. A.Yu. Savin, B.Yu. Sternin, “Elliptic differential dilation-contraction problems on manifolds with boundary”, Differ. Equ., 53:5 (2017), 665–676  crossref  crossref  mathscinet  zmath  zmath  isi  elib  scopus

   2018
26. A. Yu. Savin, B. Yu. Sternin, “Elliptic G-Operators on Manifolds with Isolated Singularities”, Journal of Mathematical Sciences, 233 (2018), 930–948  mathnet  crossref  scopus

   2016
27. A. Yu. Savin, B. Yu. Sternin, “Homotopy classification of elliptic problems associated with discrete group actions on manifolds with boundary”, Ufa Math. Journal, 8:3 (2016), 122–129  mathnet  crossref  mathscinet  isi  elib  elib  scopus
28. A. Yu. Savin, B. Yu. Sternin, “Ellipticheskie zadachi s rastyazheniyami-szhatiyami na mnogoobraziyakh s kraem”, Doklady akademii nauk, 469:2 (2016), 154–156  crossref  zmath  elib
29. A.Yu. Savin, B.Yu. Sternin, “Elliptic dilation-contraction problems on manifolds with boundary. C*-theory”, Differ. Equ., 52:10 (2016), 1331–1340  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
30. Anton Savin, Elmar Schrohe, Boris Sternin, Elliptic Operators Associated with Groups of Quantized Canonical Transformations, 2016 (Published online) , 23 pp., arXiv: arXiv:1612.02981

   2020
31. A. Yu. Savin, B. Yu. Sternin, “On Traces of Operators Associated with Actions of Compact Lie Groups”, Journal of Mathematical Sciences, 248 (2020), 647–660 , arXiv: 1612.02286  mathnet  crossref  scopus

   2015
32. A. Savin, E. Schrohe, B. Sternin, “Uniformization and Index of Elliptic Operators Associated with Diffeomorphisms of a Manifold”, Russian Journal of Mathematical Physics, 22:3 (2015), “410–420” , arXiv: 1111.1525  crossref  mathscinet  zmath  adsnasa  isi  scopus 7
33. A. Savin, B. Sternin, “Differential equations on complex manifolds”, Geometric Methods in Physics (XXXIII Workshop, Białowieża, Poland, June 29 – July 5, 2014), Trends in mathematics, eds. Piotr Kielanowski, Pierre Bieliavsky, Anatol Odzijewicz, Martin Schlichenmaier, Theodore Voronov, Springer, 2015, 273–292  crossref  mathscinet  zmath  scopus

   2014
34. A. Yu. Savin, B. Yu. Sternin, “Index of Sobolev problems on manifolds with many-dimensional singularities”, Differ. Equations, 50:2 (2014), 232–245  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
35. A.Yu. Savin, B.Yu. Sternin, “On the index of nonlocal elliptic operators associated with fibrations”, Doklady Mathematics, 89:1 (2014), 61-64  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
36. A.Yu. Savin, B. Yu. Sternin, “Index of nonlocal problems associated with a bundle”, Differ. Equations, 50:8 (2014), 1112–1121  crossref  crossref  mathscinet  zmath  isi  elib  scopus
37. A. Yu. Savin, B.Yu. Sternin, “Index of elliptic operators for diffeomorphisms of manifolds”, J. of Noncommutative Geometry, 8:3 (2014), 695–734  crossref  mathscinet  zmath  isi  scopus 10

   2013
38. A. Yu. Savin, B.Yu. Sternin, “Elliptic translators on manifolds with multidimensional singularities”, Differ. Equations, 49:4 (2013), 494–509  crossref  mathscinet  zmath  elib  elib  scopus
39. A.Yu. Savin, B.Yu. Sternin, “Uniformization of nonlocal elliptic operators and KK-theory”, Dokl. Math., 87:1 (2013), 20–22  crossref  crossref  mathscinet  zmath  isi  elib  scopus
40. A. Yu. Savin, B.Yu. Sternin, “On nonlocal Sobolev problems”, Doklady Mathematics, 88:1 (2013), “421–424”  crossref  crossref  mathscinet  zmath  zmath  elib  elib  scopus
41. A.Savin, B. Sternin, “Elliptic theory for operators associated with diffeomorphisms of smooth manifolds”, Pseudo-Differential Operators, Generalized Functions and Asymptotics, Operator Theory: Advances and Applications, 231, Springer, Basel, 2013, 1–26  crossref  mathscinet  zmath  adsnasa 5
42. A. Yu. Savin, B. Yu. Sternin, “Uniformization of nonlocal elliptic operators and KK-theory”, Russian Journal of Mathematical Physics, 20:3 (2013), 345–359  crossref  mathscinet  zmath  adsnasa  isi  scopus 6

   2014
43. A.Yu. Savin, B.Yu. Sternin, E. Schrohe, “On the Index Formula for an Isometric Diffeomorphism”, Journal of Mathematical Sciences, 201:6 (2014), 818–829  mathnet  crossref  mathscinet  zmath  scopus

   2012
44. A. Yu. Savin, B.Yu. Sternin, “Elliptic translators on manifolds with point singularities”, Differ. Equations, 48:12 (2012), 1577–1585  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus

   2011
45. A.Yu. Savin, B.Yu. Sternin, “On the index of elliptic translators”, Dokl. Math., 83:1 (2011), 76-79  crossref  mathscinet  zmath  isi  elib  scopus 3
46. A. Yu. Savin, “On the index of nonlocal elliptic operators for compact Lie groups”, Cent. Eur. J. Math., 9:4 (2011), 833-850  crossref  mathscinet  zmath  isi  elib  scopus 5
47. A. Yu. Savin, B. Yu. Sternin, “On the index of elliptic operators for the group of dilations”, Sb. Math., 202:10 (2011), 1505–1536  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
48. A. Yu. Savin, “On the symbol of nonlocal operators in Sobolev spaces”, Differ. Equ., 47:6 (2011), 897–900  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus
49. A.Yu. Savin, B.Yu. Sternin, “An index formula for nonlocal operators corresponding to a diffeomorphism of a manifold”, Dokl. Math., 83:3 (2011), 353–356  crossref  mathscinet  mathscinet  zmath  isi  elib  scopus
50. A. Yu. Savin, “On the Index of Nonlocal Elliptic Operators Corresponding to a Nonisometric Diffeomorphism”, Math. Notes, 90:5 (2011), 701–714  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
51. A.Yu. Savin, B.Yu. Sternin, E. Schrohe, “Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization”, Dokl. Math., 84:3 (2011), 846-849  crossref  mathscinet  zmath  isi  elib  scopus

   2010
52. A. Yu. Savin, B. Yu. Sternin, “On the index of noncommutative elliptic operators over $C^*$-algebras”, Sb. Math., 201:3 (2010), 377–417  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
53. A. Yu. Savin, B. Yu. Sternin, “Noncommutative elliptic theory. Examples”, Proc. Steklov Inst. Math., 271 (2010), 193–211  mathnet  crossref  mathscinet  isi  elib  elib  scopus
54. A.Yu. Savin, B.Yu. Sternin, “Index formulas for stratified manifolds”, Differ. Equ., 46:8 (2010), 1145-1156  crossref  mathscinet  zmath  isi  elib  scopus
55. A.Yu. Savin, B.Yu. Sternin, “Nonlocal elliptic operators for compact Lie groups”, Dokl. Math., 81:2 (2010), 258-261  crossref  mathscinet  zmath  isi  elib  scopus 6
56. A.Yu. Savin, B.Yu. Sternin, “On the index of nonlocal elliptic operators for the group of dilations”, Dokl. Math., 82:1 (2010), 519-522  crossref  mathscinet  zmath  isi  elib  scopus 1
57. A. Yu. Savin, “On the index of elliptic operators associated with a diffeomorphism of a manifold”, Dokl. Math., 82:3 (2010), 884-886  crossref  mathscinet  zmath  isi  elib  scopus 2
58. V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “On the Poincaré isomorphism in $K$-theory on manifolds with edges”, Journal of Mathematical Sciences, 170:2 (2010), 238–250  mathnet  crossref  mathscinet  scopus
59. V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “Atiyah–Bott index on stratified manifolds”, Journal of Mathematical Sciences, 170:2 (2010), 229–237  mathnet  crossref  mathscinet  scopus

   2009
60. A.Yu. Savin, B.Yu. Sternin, “Surgery and index formulas on stratified manifolds”, Dokl. Math., 80:1 (2009), 521-524  crossref  mathscinet  zmath  isi  elib  scopus
61. A.Yu. Savin, B.Yu. Sternin, “The index of nonlocal elliptic operators over $C^*$-algebras”, Dokl. Math., 79:3 (2009), 369-372  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2010
62. V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “Noncommutative geometry and classification of elliptic operators”, Journal of Mathematical Sciences, 164:4 (2010), 603–636  mathnet  crossref  mathscinet  elib  scopus

   2008
63. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators”, $C^*$-algebras and Elliptic theory II, Trends in Mathematics, eds. Burghelea, Dan (ed.) et al., Birkhäuser, Basel, 2008, 183-206  crossref  mathscinet  zmath  isi  scopus 1
64. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Elliptic theory on manifolds with corners. II: Homotopy classification and $K$-homology”, $C^*$-algebras and Elliptic theory II, Trends in Mathematics, eds. Burghelea, Dan (ed.) et al., Birkhäuser, Basel, 2008, 207-226  crossref  mathscinet  zmath  scopus 3
65. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “On the index of nonlocal elliptic operators”, Dokl. Math., 77:3 (2008), 441-445  crossref  mathscinet  zmath  isi  elib  scopus
66. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, Elliptic theory and noncommutative geometry. Nonlocal elliptic operators, Birkhäuser, Basel, 2008 , 224 pp.  crossref  mathscinet  zmath  isi 1

   2007
67. V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “Homotopy classification of elliptic operators on stratified manifolds”, Izv. Math., 71:6 (2007), 1167–1192  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
68. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Pseudodifferential operators on stratified manifolds. I.”, Differ. Equ., 43:4 (2007), 536-549  crossref  mathscinet  zmath  isi  elib  scopus 3
69. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Pseudodifferential operators on stratified manifolds. II.”, Differ. Equ., 43:5 (2007), 704-716  crossref  mathscinet  zmath  isi  elib  scopus 3
70. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “On the homotopy classification of elliptic operators on manifolds with corners”, Dokl. Math., 75:2 (2007), 186-189  crossref  mathscinet  zmath  isi  scopus 1

   2006
71. A. Savin, B. Sternin, “Pseudodifferential subspaces and their applications in elliptic theory”, $C^*$-algebras and elliptic theory, Trends in Mathematics, eds. Bojarski, Bogdan (ed.) et al., Birkhäuser, Basel, 2006, 247-289  crossref  mathscinet  zmath  isi 1
72. V.E. Nazaikinskii, A.Yu. Savin, B.-W. Schulze, B.Yu. Sternin, Elliptic theory on singular manifolds, Chapman & Hall/CRC, Boca Raton, FL, 2006 , 356 pp.  mathscinet  zmath  isi
73. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “Homotopy classification of elliptic operators on stratified manifolds”, Dokl. Math., 73:3 (2006), 407-411  crossref  mathscinet  zmath  isi  scopus 2

   2005
74. V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, B.-W. Schulze, “On the index of elliptic operators on manifolds with edges”, Sb. Math., 196:9 (2005), 1271–1305  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
75. A. Savin, B. Sternin, “Boundary value problems on manifolds with fibered boundary”, Math. Nachr., 278:11 (2005), 1297-1317  crossref  mathscinet  zmath  isi  elib  scopus 5
76. V.E. Nazaikinskii, G. Rozenblum, A.Yu. Savin, B.Yu. Sternin, “Guillemin transform and Toeplitz representations for operators on singular manifolds”, Spectral geometry of manifolds with boundary and decomposition of manifolds., Proceedings of the workshop, Roskilde, Denmark, August 6–9, 2003., Contemporary Mathematics, 366, eds. Booß-Bavnbek, Bernhelm (ed.) et al., AMS, Providence, RI, 2005, 281-306  crossref  mathscinet  zmath  isi 2
77. A. Savin, “Elliptic operators on manifolds with singularities and $K$-homology”, K-Theory, 34:1 (2005), 71-98  crossref  mathscinet  zmath  isi  elib  scopus 16
78. V.E. Nazaikinskii, A.Yu. Savin, B.-W. Schulze, B.Yu. Sternin, “The index problem on manifolds with edges”, Noncommutative geometry and representation theory in mathematical physics, Satellite conference to the fourth European congress of mathematics (July 5–10, 2004, Karlstad, Sweden), Contemporary Mathematics, 391, eds. Fuchs, Jürgen (ed.) et al., AMS, Providence, RI, 2005, 289-312  crossref  mathscinet  zmath  isi
79. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, B.-W. Schulze, “Pseudodifferential operators on manifolds with singularities and localization”, Dokl. Akad. Nauk, 402:6 (2005), 743-747  mathnet  mathscinet  zmath  scopus

   2004
80. A. Yu. Savin, B. Yu. Sternin, “Defect of index in the theory of non-local problems and the $\eta$-invariant”, Sb. Math., 195:9 (2004), 1321–1358  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
81. A. Savin, B. Sternin, “The eta invariant and parity conditions”, Adv. Math., 182:2 (2004), 173–203  crossref  mathscinet  zmath  isi  scopus 1
82. A. Savin, B. Sternin, “Index defects in the theory of spectral boundary value problems”, Aspects of boundary problems in analysis and geometry, Operator Theory: Advances and Applications, 151, eds. Gil, Juan (ed.) et al., Birkhäuser, Basel, 2004, 170-238  crossref  mathscinet  zmath 1
83. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, “On the definition of pseudodifferential operators on manifolds with singularities”, Dokl. Math., 69:1 (2004), 41-44  mathscinet  zmath  isi  scopus
84. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, B.-W. Schulze, “On the index of differential operators on manifolds with edges”, Dokl. Math., 69:1 (2004), 68-71  mathscinet  zmath  isi  scopus
85. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, B.-W. Schulze, “On the existence of elliptic problems on manifolds with edges”, Dokl. Math., 69:2 (2004), 231-234  mathscinet  zmath  isi  scopus
86. A. Savin, B. Sternin, “Index for a class of nonlocal elliptic operators”, (in Russian), Spectral and evolution problems, Proceedings of the Fourteenth Crimean Autumn Mathematical School-Symposium (KROMSH-2003) (September 18 – 29, 2003, Sevastopol, Laspi), 14, Taurida National V. Vernadsky University, Simferopol, 2004, 34-40
87. V.E. Nazaikinskii, A.Yu. Savin, B.Yu. Sternin, B.-W. Schulze, “On pseudodifferential operators on manifolds with edges”, Dokl. Akad. Nauk, 398:4 (2004), 453-457  mathnet  mathscinet  scopus

   2003
88. A. Savin, B.-W. Schulze, B. Sternin, “The $\eta$-invariant and elliptic operators in subspaces”, Jean Leray '99 Conference Proceedings, Math. Phys. Stud., 24, Kluwer Acad. Publ.,, Dordrecht, 2003, 373–387  mathscinet  zmath

   2002
89. A. Yu. Savin, B. Yu. Sternin, “The Eta-Invariant and Pontryagin Duality in $K$-Theory”, Math. Notes, 71:2 (2002), 245–261  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
90. A.Yu. Savin, B.-W. Schulze, B.Yu. Sternin, “Elliptic operators in subspaces and the eta invariant”, K-Theory, 27:3 (2002), 253–272  crossref  mathscinet  zmath  isi  scopus 6

   2001
91. A. Savin, B.-W. Schulze, B. Sternin, “On the homotopy classification of elliptic boundary value problems”, Partial differential equations and spectral theory (Clausthal, 2000), Oper. Theory Adv. Appl., 126, eds. Demuth, Michael (ed.) et al., Birkhäuser, 2001, 299–305  crossref  mathscinet  zmath  adsnasa 1
92. A.Yu. Savin, B. Yu. Sternin, “The eta-invariant and parity conditions”, Dokl. Math., 63:2 (2001), 189-193  mathscinet  zmath  isi  scopus
93. A.Yu.Savin, B.Yu. Sternin, “On the problem of the homotopy classification of elliptic boundary value problems”, Dokl. Math., 63:2 (2001), 174-178  mathnet  mathscinet  zmath  isi  scopus 2

   2000
94. A. Yu. Savin, B. Yu. Sternin, “Elliptic operators in odd subspaces”, Sb. Math., 191:8 (2000), 1191–1213  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
95. A. Yu. Savin, B. Yu. Sternin, “Subspaces defined by pseudodifferential projections, and some of their applications”, Dokl. Math., 61:2 (2000), 235-238  mathscinet  zmath  scopus
96. A. Yu. Savin, Elliptic operators in subspaces and their applications, Dissertation for Cand. of Phys.-Math. Sciences (PhD), Moscow State University, Moscow, 2000

   1999
97. A. Yu. Savin, B. Yu. Sternin, “Elliptic operators in even subspaces”, Sb. Math., 190:8 (1999), 1195–1228  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
98. A. Yu. Savin, B. Yu. Sternin, B.-W. Schulze, “On invariant index formulas for spectral boundary value problems”, Differ. Equ., 35:5 (1999), 709–718  mathnet  mathscinet  zmath  isi  scopus
99. A. Yu. Savin, “On operators that allow the decomposition of index formulas for spectral boundary value problems”, Dokl. Math., 60:2 (1999), 220-222  mathscinet  zmath  scopus
100. A. Yu. Savin, B. Yu. Sternin, B.-W. Schulze, Differ. Uravn., 35:5 (1999), 705–714  mathnet  mathscinet

   1997
101. A. Yu. Savin, “Branching of terms for the one-dimensional Schrödinger equation”, Differ. Equ., 33:8 (1997), 1055–1062  mathnet  mathscinet  zmath  isi  scopus
102. A. Yu. Savin, Differ. Uravn., 33:8 (1997), 1049–1056  mathnet  mathscinet

Presentations in Math-Net.Ru
1. Index of elliptic operators associated with group actions
A. Yu. Savin, Abbas H
Complex analysis and mathematical physics
April 16, 2024 16:00
2. Некоммутативная геометрия и топология в Московском университете
A. S. Mishchenko, I. K. Babenko, A. A. Irmatov, V. M. Manuilov, F. Yu. Popelenskii, A. Yu. Savin, A. A. Arutyunov
Noncommutative geometry and topology
March 28, 2024 16:45
3. Parameter dependent pseudodifferential boundary value problems and their applications to trace asymptotics and eta-invariants.
A. Yu. Savin
Scientific seminar on the differential and functional differential equations
November 21, 2023 12:00   
4. $\eta$-invariants of elliptic boundary value problems
A. Yu. Savin
VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev
November 17, 2023 16:35   
5. Eta-invariants for families of operators with shifts
A. Yu. Savin, K. N. Zhuikov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 12, 2023 12:35
6. Noncommutative residues and asymptotics of traces of operators associated with a metaplectic group
A. Yu. Savin
International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100)
January 11, 2023 17:00   
7. Equivariant cyclic cocycles on the Boutet de Monvel symbol algebra
A. Yu. Savin
Algebras in Analysis
December 9, 2022 18:00
8. Index of elliptic boundary value problems associated with actions of discrete groups on manifolds with boundary
A. Yu. Savin
Complex analysis and mathematical physics
December 6, 2022 16:00
9. On nonlocal elliptic boundary value problems corresponding to infinite transformation groups
A. Yu. Savin
Scientific seminar on the differential and functional differential equations
November 15, 2022 12:00   
10. О нелокальных эллиптических краевых задачах, отвечающих бесконечным группам преобразований
A. Yu. Savin

November 11, 2022 15:00
11. A local index formula for noncommutative orbifolds
A. Yu. Savin
Modern methods, problems and applications of operator theory and harmonic analysis
August 23, 2022 10:40   
12. Индекс нелокальных эллиптических краевых задач, ассоциированных с действиями дискретных групп
A. Yu. Savin
Noncommutative geometry and topology
April 7, 2022 16:45   
13. О гомотопической классификации нелокальных эллиптических операторов на многообразиях с цилиндрическими концами
А. Ю. Савин
International Scientific Conference KOLMOGOROV READINGS – IX. General Control Problems and their Applications (GCP–2020), dedicated to the 70-th birth anniversary of Alexander Ivanovich Bulgakov and to the 90-th anniversary of the Institute of Mathematics, Physics and Information Technologies of Derzhavin Tambov State University
October 12, 2020 16:25   
14. Локальная теорема об индексе для метаплектических операторов
A. Yu. Savin
Noncommutative geometry and topology
October 1, 2020 17:45
15. Topological invariants of symbol of elliptic boundary value problem.
A. Yu. Savin
Global analysis in modern theory of differential equations
May 20, 2020 16:00
16. Topological invariants of symbol of elliptic boundary value problem.
A. Yu. Savin
Global analysis in modern theory of differential equations
May 13, 2020 16:00
17. Topological invariants of elliptic symbols. G-theory
A. Yu. Savin
Global analysis in modern theory of differential equations
May 6, 2020 16:00
18. Index problem for the metaplectic group. II.
A. Yu. Savin
Global analysis in modern theory of differential equations
February 19, 2020 10:30
19. Index problem for the metaplectic group. I.
A. Yu. Savin
Global analysis in modern theory of differential equations
February 12, 2020 12:00
20. Задача о гомотопической классификации эллиптических операторов
A. Yu. Savin
Global analysis in modern theory of differential equations
May 22, 2018 17:15
21. Эллиптические операторы, ассоциированные с группами квантованных канонических преобразований
A. Yu. Savin

April 5, 2018 18:30
22. О топологической K-теории и её приложениях
A. Yu. Savin
Global analysis in modern theory of differential equations
March 20, 2018 17:10
23. Алгебраический подход в теории индекса эллиптических операторов
A. Yu. Savin
Global analysis in modern theory of differential equations
June 8, 2017 15:30
24. Об эллиптических комплексах
A. Yu. Savin
Global analysis in modern theory of differential equations
April 27, 2017 15:30
25. Фредгольмовость G-операторов. Методы теории С*-алгебр
A. Yu. Savin
Global analysis in modern theory of differential equations
March 23, 2017 15:20
26. О классификации операторов, отвечающих пересекающимся многообразиям
A. Yu. Savin
Global analysis in modern theory of differential equations
March 16, 2017 15:20
27. Дифференциальные уравнения на комплексных многообразиях
B. Yu. Sternin, A. Yu. Savin
Noncommutative geometry and topology
February 19, 2015 16:45
28. Differential equations on complex manifolds
A. Yu. Savin, B. Yu. Sternin
Differential geometry and applications
October 14, 2013 16:45
29. Проблема индекса для нелокальных эллиптических операторов и некоммутативная геометрия
A. Yu. Savin
Meetings of the Moscow Mathematical Society
April 22, 2008

Organisations
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024