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Khromov, Avgust Petrovich

Statistics Math-Net.Ru
Total publications: 84
Scientific articles: 68

Number of views:
This page:3898
Abstract pages:20781
Full texts:7495
References:1996
Professor
Doctor of physico-mathematical sciences (1974)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 17.06.1935
E-mail: ,
Keywords: spectral theory; non-selfadjoint operators; differential and integral equations; resolvent; eigenvalue-series expansion.

Subject:

Fundamental results were obtained in the spectral theory of non-selfadjoint differential and integral operators: a complete solution of a difficult eigenfunctions expansions problem for ordinary differential operators with nonregular decomposing boundary conditions was found; the eigenfunctions expansions problems for integral operators which are the sum of a Volterra and a finite-dimensional operators in the case of exponential growth of the resolvent and for integral operators which kernels have power behaviour on the diagonals were solved.

Biography

In 1958 I graduated from Faculty of Mathematics and Mechanics of Saratov State University (SSU) in mathematics. Ph.D. thesis was defended in 1964. D.Sci. thesis was defended in 1973. A list of my works contains more than 140 titles. Since 1973 I has led the research seminar at SSU on spectral theory of operators.

In 1997 I was awarded the title "Honoured science resercher of Russian Federation". Academician of International Academy of High School Sciences — since 1998. President of Saratov Mathematical Society. Chairman of Ph.D. thesis council in Saratov State University. Member D.Sci. council in Mathematics and Mechanics Institute of the Ural Departament of Russian Academy of Sciences (Yekaterinburg). In 2000 I was awarded a grant of Russian Academy of Sciences and RFFI "Leading scientific schools". I was awarded a state scientific grant.

   
Main publications:
  • Khromov A. P. Razlozhenie po sobstvennym funktsiyam obyknovennykh differentsialnykh operatorov s neregulyarnymi raspadayuschimisya kraevymi usloviyami // Matem. sbornik, 1966, 70 (112), # 3, 310–329.
  • Khromov A. P. O porozhdayuschikh funktsiyakh volterrovykh operatorov // Matem. sbornik, 1977, 102 (144), # 3, 457–472.
  • Khromov A. P. Teoriya ravnoskhodimosti dlya integrodifferentsialnykh i integralnykh operatorov // Matem. sbornik, 1981, 114 (156), # 3, 378–405.
  • Khromov A. P. Asimptotika rezolvent integralnykh volterrovykh operatorov. Trudy MIAN, 1995, 211, 419–442.
  • Khromov A. P., Kornev V. V. O ravnoskhodimosti razlozhenii po sosbstvennym funktsiyam integralnykh operatorov s yadrami, dopuskayuschimi razryvy proizvodnykh na diagonalyakh // Matem. sbornik, 2001, 192, # 10, 33–50.
  • Khromov A. P. Konechnomernye vozmuscheniya volterrovykh operatorov // Sovremennaya matematika. Fundamentalnye napravleniya. 2004. T. 10. S. 3–163.
  • Khromov A. P. Integralnye operatory s yadrami, razryvnymi na lomanykh liniyakh // Matem. sb. 2006. T. 197, vyp. 11. S. 115–142.
  • Khromov A. P. O ravnoskhodimosti razlozhenii po sobstvennym funktsiyam integralnykh operatorov s peremennymi predelami integrirovaniya // Integralnye preobrazovaniya i spetsialnye funktsii. Informatsionnyi byulleten. T. 6, # 1. 2006. S. 46–55.
  • Kornev V. V., Khromov A. P. Operator integrirovaniya s involyutsiei v verkhnem predele integrirovaniya // Dokl. AN. 2008. T. 422, # 4. S. 459–462.
  • Kurdyumov V. P., Khromov A. P. O bazisakh Rissa iz sobstvennykh i prisoedinennykh funktsii funktsionalno-differentsialnogo uravneniya s operatorom otrazheniya // Differentsialnye uravneniya. 2008. T. 44, # 2. S. 196–204.
  • Burlutskaya M. Sh., Khromov A. P. Klassicheskoe reshenie dlya smeshannoi zadachi s involyutsiei // Dokl. AN. 2010. T. 435, # 2. S.1643–1646.
  • Burlutskaya M. Sh., Khromov A. P. Teorema Shteingauza o ravnoskhodimosti dlya funktsionalno-differentsialnykh operatorov // Matem. zametki. 2011. T. 90, vyp. 1. S. 22–33.
  • Burlutskaya M. Sh., Khromov A. P. Metod Fure v smeshannoi zadache dlya uravneniya pervogo poryadka s involyutsiei // ZhVM i MF. 2011. T. 51, # 12. S. 2233–2246.
  • Burlutskaya M. Sh., Kurdyumov V. P., Khromov A. P. Utochnennye asimptoticheskie formuly dlya sobstvennykh znachenii i sobstvennykh funktsii sistemy Diraka // Dokl. AN. 2012. T. 443, # 4. S. 414–417.
  • Burlutskaya M. Sh., Khromov A. P. Funktsionalno differentsialnye operatory s involyutsiei i operatory Diraka s periodicheskimi kraevymi usloviyami // Dokl. AN. 2014. T. 454, # 1. S. 15–17.
  • Burlutskaya M. Sh., Khromov A. P. Rezolventnyi podkhod v metode Fure // Dokl. AN. 2014. T. 458, # 2. S. 138–140.
  • Kuznetsov N., Khromov A. The Fourier Method in Russia Before and Aster V. A. Steklov // Math. Intelligencer. 2014. Vol. 36, iss. 4. P. 66–73.
  • Khromov A. P. Smeshannaya zadacha dlya volnovogo uravneniya s proizvolnymi dvukhtochechnymi kraevymi usloviyami // Dokl. AN. 2015. T. 462, # 2. S. 148–150.
  • Khromov A.P., Kornev V.V. Rezolventnyi podkhod k metodu Fure v odnoi smeshannoi zadache dlya volnovogo uravneniya // Zh. vychisl. matem. i matem. fiz. 2015. T. 55, # 4. S. 621–630.
  • Khromov A.P., Burlutskaya M.Sh. Rezolventnyi podkhod dlya volnovogo uravneniya // Zh. vychisl. matem. i matem. fiz. 2015. T. 55, # 2. S. 51–63.
  • Rezolventnyi podkhod v metode Fure dlya volnovogo uravneniya v nesamosopryazhennom sluchae // Zh. vychisl. matem. i matem. fiz. 2015. T. 55, # 7. S. 1156–1167.
  • Khromov A. P., Kornev V. V. Povedenie formalnogo resheniya smeshannoi zadachi dlya volnovogo uravneniya // Zh. vychisl. matem. i matem. fiz. 2016. T. 56, # 2. S. 239–251.

http://www.mathnet.ru/eng/person9199
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https://mathscinet.ams.org/mathscinet/MRAuthorID/190588
http://orcid.org/0000-0002-2454-8009

Publications in Math-Net.Ru
2019
1. V. V. Kornev, A. P. Khromov, “Classical Solution of the Mixed Problem for a Homogeneous Wave Equation with Fixed Endpoints”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 172 (2019),  123–137  mathnet
2. A. P. Khromov, “On classic solution of the problem for a homogeneous wave equation with fixed end-points and zero initial velocity”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 19:3 (2019),  280–288  mathnet  elib
3. A. P. Khromov, V. V. Kornev, “ ”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019),  286–300  mathnet  elib
2018
4. V. P. Kurdyumov, A. P. Khromov, V. A. Khalova, “A mixed problem for a wave equation with a nonzero initial velocity”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 18:2 (2018),  157–171  mathnet  elib
5. A. P. Khromov, “Mixed problem for a homogeneous wave equation with a nonzero initial velocity”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1583–1596  mathnet  elib; Comput. Math. Math. Phys., 58:9 (2018), 1531–1543  isi  scopus
2017
6. V. V. Kornev, A. P. Khromov, “A mixed problem for an inhomogeneous wave equation with a summable potential”, Zh. Vychisl. Mat. Mat. Fiz., 57:10 (2017),  1692–1707  mathnet  elib; Comput. Math. Math. Phys., 57:10 (2017), 1666–1681  isi  elib  scopus
2016
7. V. V. Kornev, A. P. Khromov, “Resolvent approach to Fourier method in a mixed problem for non-homogeneous wave equation”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 16:4 (2016),  403–413  mathnet  mathscinet  elib
8. A. P. Gurevich, V. P. Kurdyumov, A. P. Khromov, “Justification of Fourier method in a mixed problem for wave equation with non-zero velocity”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 16:1 (2016),  13–29  mathnet  mathscinet  elib
9. A. P. Khromov, “On the convergence of the formal Fourier solution of the wave equation with a summable potential”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1795–1809  mathnet  elib; Comput. Math. Math. Phys., 56:10 (2016), 1778–1792  isi  scopus
10. A. P. Khromov, “Behavior of the formal solution to a mixed problem for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016),  239–251  mathnet  elib; Comput. Math. Math. Phys., 56:2 (2016), 243–255  isi  scopus
2015
11. A. P. Khromov, “About the classical solution of the mixed problem for the wave equation”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 15:1 (2015),  56–66  mathnet  elib
12. V. V. Kornev, A. P. Khromov, “A resolvent approach in the Fourier method for the wave equation: The non-selfadjoint case”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015),  1156–1167  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:7 (2015), 1138–1149  isi  elib  scopus
13. V. V. Kornev, A. P. Khromov, “Resolvent approach to the Fourier method in a mixed problem for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015),  621–630  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 55:4 (2015), 618–627  isi  elib  scopus
14. M. Sh. Burlutskaya, A. P. Khromov, “The resolvent approach for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015),  229–241  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:2 (2015), 227–239  isi  elib  scopus
2014
15. V. P. Kurdumov, A. P. Khromov, “Riescz Basis Property of Eigen and Associated Functions of Integral Operators with Discontinuous Kernels, Containing Involution”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 14:4(2) (2014),  558–569  mathnet
16. A. P. Khromov, M. Sh. Burlutskaya, “Classical solution by the Fourier method of mixed problems with minimum requirements on the initial data”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 14:2 (2014),  171–198  mathnet
17. M. Sh. Burlutskaya, A. P. Khromov, “Mixed problem for simplest hyperbolic first order equations with involution”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 14:1 (2014),  10–20  mathnet
18. A. P. Khromov, G. V. Khromova, “Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014),  1442–1557  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:9 (2014), 1389–1394  isi  elib  scopus
2013
19. V. V. Kornev, A. P. Khromov, “Dirac system with undifferentiable potential and antiperiodic boundary conditions”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 13:3 (2013),  28–35  mathnet
20. V. A. Khalova, A. P. Khromov, “Integral Operators with Non-smooth Involution”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 13:1(1) (2013),  40–45  mathnet
21. A. P. Khromov, G. V. Khromova, “A family of operators with discontinuous ranges and approximation and restoration of continuous functions”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013),  1603–1609  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:10 (2013), 1421–1427  isi  elib  scopus
2012
22. V. P. Kurdyumov, A. P. Khromov, “Riesz bases of eigenfunctions of integral operators with kernels discontinuous on the diagonals”, Izv. RAN. Ser. Mat., 76:6 (2012),  107–122  mathnet  mathscinet  zmath  elib; Izv. Math., 76:6 (2012), 1175–1189  isi  elib  scopus
23. M. Sh. Burlutskaya, V. P. Kurdyumov, A. P. Khromov, “Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 12:3 (2012),  22–30  mathnet
24. O. A. Koroleva, A. P. Khromov, “Integral operator with kernel having jumps on broken lines”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 12:2 (2012),  6–13  mathnet
25. A. P. Khromov, G. V. Khromova, “On the convergence of the Lavrent'ev method for an integral equation of the first kind with involution”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  289–297  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 88–97  isi  scopus
26. M. Sh. Burlutskaya, V. V. Kornev, A. P. Khromov, “Dirac system with non-differentiable potential and periodic boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 52:9 (2012),  1621–1632  mathnet
27. A. P. Khromov, G. V. Khromova, “On the regularization of a class of integral equations of the first kind whose kernels are discontinuous on the diagonals”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1363–1372  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:8 (2012), 1079–1088  isi  elib  scopus
2011
28. M. Sh. Burlutskaya, A. P. Khromov, “Substantiation of Fourier method in mixed problem with involution”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 11:4 (2011),  3–12  mathnet
29. M. Sh. Burlutskaya, A. P. Khromov, “The Steinhaus Theorem on Equiconvergence for Functional-Differential Operators”, Mat. Zametki, 90:1 (2011),  22–33  mathnet  mathscinet  zmath; Math. Notes, 90:1 (2011), 20–31  isi  scopus
30. M. Sh. Burlutskaya, A. P. Khromov, “Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011),  2233–2246  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 51:12 (2011), 2102–2114  isi  elib  scopus
2010
31. A. P. Khromov, “The mixed problem for the differential equation with involution and potential of the special kind”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 10:4 (2010),  17–22  mathnet
32. V. P. Kurdyumov, A. P. Khromov, “The Riesz bases consisting of eigen and associated functions for a functional differential operator with variable structure”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, 2,  39–52  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 54:2 (2010), 33–45  scopus
2009
33. M. Sh. Burlutskaya, A. P. Khromov, “On the same theorem on a equiconvergence at the whole segment for the functional-differential operators”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 9:4(1) (2009),  3–10  mathnet  elib
2008
34. V. V. Kornev, A. P. Khromov, “Operator integration with an involution having a power singularity”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 8:4 (2008),  18–33  mathnet  elib
35. M. Sh. Burlutskaya, A. P. Khromov, “On the equiconvergence of expansions for the certain class of the functional-differential operators with involution on the graph”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 8:1 (2008),  9–14  mathnet  elib
36. A. P. Khromov, L. P. Kuvardina, “On the equiconvergence of expansions in eigen- and associated functions of an integral operator with involution”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, 5,  67–76  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 52:5 (2008), 58–66
2007
37. A. P. Khromov, “An Equiconvergence Theorem for an Integral Operator with a Variable Upper Limit of Integration”, CMFD, 25 (2007),  182–191  mathnet  mathscinet  zmath  elib; Journal of Mathematical Sciences, 155:1 (2008), 188–198  scopus
38. V. P. Kurdyumov, A. P. Khromov, “On Riesz basises of the eigen and associated functions of the functional-differential operator with a variable structure”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 7:2 (2007),  20–25  mathnet
39. A. V. Golub, A. P. Khromov, “Equiconvergence theorem for expansions in eigenfunctions of integral operators with discontinuous involution”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 7:2 (2007),  5–10  mathnet  elib
40. M. Sh. Burlutskaya, A. P. Khromov, “On convergence of Riesz means of the expansions in eigenfunctions of a functional-differential operator on a cycle-graph”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 7:1 (2007),  3–8  mathnet
2006
41. A. P. Khromov, “Integral operators with kernels that are discontinuous on broken lines”, Mat. Sb., 197:11 (2006),  115–142  mathnet  mathscinet  zmath  elib; Sb. Math., 197:11 (2006), 1669–1696  isi  scopus
2005
42. V. V. Kornev, A. P. Khromov, “On the absolute convergence of expansions in eigenfunctions of differential and integral operators”, Dokl. Akad. Nauk, 400:3 (2005),  304–308  mathnet  mathscinet  elib
43. V. V. Kornev, A. P. Khromov, “Absolute convergence of expansions in eigen- and adjoint functions of an integral operator with a variable limit of integration”, Izv. RAN. Ser. Mat., 69:4 (2005),  59–74  mathnet  mathscinet  zmath  elib; Izv. Math., 69:4 (2005), 703–717  isi  elib  scopus
44. A. M. Minkin, A. P. Khromov, “ regularity of self-adjoint boundary conditions”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 5:1-2 (2005),  48–61  mathnet
2004
45. A. P. Khromov, “Finite-dimensional perturbations of Volterra operators”, CMFD, 10 (2004),  3–163  mathnet  mathscinet  zmath  elib; Journal of Mathematical Sciences, 138:5 (2006), 5893–6066  scopus
46. V. P. Kurdyumov, A. P. Khromov, “Riesz Bases of Eigenfunctions of an Integral Operator with a Variable Limit of Integration”, Mat. Zametki, 76:1 (2004),  97–110  mathnet  mathscinet  zmath; Math. Notes, 76:1 (2004), 90–102  isi  scopus
2003
47. A. P. Gurevich, A. P. Khromov, “Riesz summability of expansions in eigenfunctions of integral operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, 2,  24–35  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 47:2 (2003), 22–33
2002
48. A. P. Khromov, G. V. Khromova, “Extension of the convergence domain in the Tikhonov method”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002),  1109–1114  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 42:8 (2002), 1067–1072
2001
49. A. P. Gurevich, A. P. Khromov, “Riesz Summability of Spectral Expansions for a Class of Integral Operators”, Differ. Uravn., 37:6 (2001),  809–814  mathnet  mathscinet; Differ. Equ., 37:6 (2001), 849–855
50. A. P. Gurevich, A. P. Khromov, “Riesz summability of spectral expansions for finite-dimensional perturbations of a class of integral operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, 8,  38–50  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 45:8 (2001), 36–48
51. V. V. Kornev, A. P. Khromov, “Equiconvergence of expansions in eigenfunctions of integral operators with kernels that can have discontinuities on the diagonals”, Mat. Sb., 192:10 (2001),  33–50  mathnet  mathscinet  zmath; Sb. Math., 192:10 (2001), 1451–1469  isi  scopus
2000
52. A. P. Khromov, “Equiconvergence of expansions in eigenfunctions of finite-dimensional perturbations of the integration operator”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, 2,  21–26  mathnet  mathscinet  zmath
1998
53. A. P. Khromov, “Inversion of integral operators with kernels discontinuous on the diagonal”, Mat. Zametki, 64:6 (1998),  932–942  mathnet  mathscinet  zmath; Math. Notes, 64:6 (1998), 804–813  isi
1995
54. A. P. Khromov, “Spectral analysis of differential operators on a finite interval”, Differ. Uravn., 31:10 (1995),  1691–1696  mathnet  mathscinet; Differ. Equ., 31:10 (1995), 1657–1662
55. A. P. Khromov, “Resolvent asymptotics of Volterra integral operators”, Trudy Mat. Inst. Steklov., 211 (1995),  419–442  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 211 (1995), 378–400
1994
56. A. P. Gurevich, A. P. Khromov, “First and second order differentiation operators with weight functions of variable sign”, Mat. Zametki, 56:1 (1994),  3–15  mathnet  mathscinet  zmath; Math. Notes, 56:1 (1994), 653–661  isi
1983
57. L. B. Matsnev, A. P. Khromov, “Generating functions of Volterra integral operators”, Mat. Zametki, 33:3 (1983),  423–434  mathnet  mathscinet  zmath; Math. Notes, 33:3 (1983), 216–223
1981
58. A. P. Khromov, “Equiconvergence theorems for integrodifferential and integral operators”, Mat. Sb. (N.S.), 114(156):3 (1981),  378–405  mathnet  mathscinet  zmath; Math. USSR-Sb., 42:3 (1982), 331–355
1977
59. A. P. Khromov, “On generating functions of Volterra operators”, Mat. Sb. (N.S.), 102(144):3 (1977),  457–472  mathnet  mathscinet  zmath; Math. USSR-Sb., 31:3 (1977), 409–423  isi
1976
60. A. P. Khromov, “Differential operator with irregular splitting boundary conditions”, Mat. Zametki, 19:5 (1976),  763–772  mathnet  mathscinet  zmath; Math. Notes, 19:5 (1976), 451–456
1974
61. A. P. Khromov, “Finite-dimensional perturbations of Volterra operators”, Mat. Zametki, 16:4 (1974),  669–680  mathnet  mathscinet  zmath; Math. Notes, 16:4 (1974), 990–997
1973
62. A. P. Khromov, “Finite-dimensional perturbations of Volterra operators”, Dokl. Akad. Nauk SSSR, 209:2 (1973),  309–311  mathnet  mathscinet  zmath
63. A. P. Khromov, “Asymptotic of the resolvent series of a Volterra operator and its application”, Mat. Zametki, 13:6 (1973),  857–868  mathnet  mathscinet  zmath; Math. Notes, 13:6 (1973), 513–519
1972
64. A. P. Khromov, “On a representation of the kernels of resolvents of Volterra operators and its applications”, Mat. Sb. (N.S.), 89(131):2(10) (1972),  207–226  mathnet  mathscinet  zmath; Math. USSR-Sb., 18:2 (1972), 209–227
1970
65. A. P. Khromov, “Representation of arbitrary functions by certain special series”, Mat. Sb. (N.S.), 83(125):2(10) (1970),  165–180  mathnet  mathscinet  zmath; Math. USSR-Sb., 12:2 (1970), 159–176
1969
66. A. P. Khromov, “Differentiation operator and series of Dirichlet type”, Mat. Zametki, 6:6 (1969),  759–766  mathnet  mathscinet  zmath; Math. Notes, 6:6 (1969), 920–924
1968
67. A. P. Khromov, “The generating elements of certain Volterra operators connected with third- and fourth-order differential operators”, Mat. Zametki, 3:6 (1968),  715–720  mathnet  mathscinet  zmath; Math. Notes, 3:6 (1968), 456–459
1966
68. A. P. Khromov, “Expansion in eigenfunctions of ordinary linear differential operators with irregular decomposing boundary conditions”, Mat. Sb. (N.S.), 70(112):3 (1966),  310–329  mathnet  mathscinet
1963
69. A. P. Khromov, “Eigenfunction expansion of ordinary differential operators with non-regular decomposing boundary values”, Dokl. Akad. Nauk SSSR, 152:6 (1963),  1324–1326  mathnet  mathscinet  zmath
1962
70. A. P. Khromov, “The eigenfunction expansion of ordinary linear differential operators in a finite interval”, Dokl. Akad. Nauk SSSR, 146:6 (1962),  1294–1297  mathnet  mathscinet  zmath

2018
71. B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, A. N. Chumachenko, “19th International Saratov Winter School Contemporary problems of function theory and their applications"”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 18:3 (2018),  354–365  mathnet
2016
72. B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, A. N. Chumachenko, “18th International Saratov Winter School Contemporary Problems of Function Theory and Their Applications”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 16:4 (2016),  485–487  mathnet
2015
73. B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “XVII International Saratov Winter School Contemporary Problems of the Function Theory and its Applications. Dedicated to the 150th Anniversary of V.  A. Steklov”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 15:3 (2015),  357–359  mathnet  elib
2012
74. B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “16 Saratov winter school “Contemporary problems of function theory and its applications””, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 12:2 (2012),  114–115  mathnet
2010
75. L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “15 Saratov winter school “Contemporary problems of function theory and its applications” dedicated to the 125th anniversary of V. V. Golubev and 100th anniversary of SSU”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 10:3 (2010),  86–87  mathnet
2009
76. A. P. Khromov, “Vladimir Vasilievich Golubev”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 9:4(1) (2009),  88–89  mathnet
2008
77. L. Yu. Kossovich, A. P. Khromov, S. P. Sidorov, “14 Saratov winter school “Contemporary problems of function theory and its applications” dedicated to the memory of P. L. Ulyanov”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 8:1 (2008),  76–77  mathnet
2007
78. S. I. Dudov, A. M. Zaharov, D. V. Prokhorov, A. P. Khromov, “Petr Lavrentievich Ulianov”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 7:1 (2007),  89–93  mathnet  elib
2004
79. L. Yu. Kossovich, A. L. Lukashov, P. L. Ul'yanov, A. P. Khromov, “Twelfth Saratov Winter Workshop “Contemporary Problems of Function Theory and their Applications””, Uspekhi Mat. Nauk, 59:3(357) (2004),  189–190  mathnet  mathscinet
2001
80. D. I. Trubetskov, P. L. Ul'yanov, A. P. Khromov, A. L. Lukashov, “Tenth Saratov Winter School “Modern Problems of Theory of Functions and Applications””, Uspekhi Mat. Nauk, 56:1(337) (2001),  205–206  mathnet
81. V. A. Il'in, S. M. Nikol'skii, N. Kh. Rozov, P. L. Ul'yanov, A. P. Khromov, “Yulii Vital'evich Pokornyi (on his 60th birthday)”, Uspekhi Mat. Nauk, 56:1(337) (2001),  199–200  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:1 (2001), 197–199  isi
1998
82. A. L. Lukashov, D. I. Trubetskov, P. L. Ul'yanov, A. P. Khromov, “Ninth Saratov Winter School “Modern Problems of Theory of Functions and Applications””, Uspekhi Mat. Nauk, 53:2(320) (1998),  185–186  mathnet
1996
83. A. L. Lukashov, D. I. Trubetskov, P. L. Ul'yanov, A. P. Khromov, “Eighth Saratov Winter School “Modern Problems of Theory of Functions and Applications””, Uspekhi Mat. Nauk, 51:3(309) (1996),  221–222  mathnet
1995
84. L. D. Kudryavtsev, S. M. Nikol'skii, D. V. Prokhorov, S. B. Stechkin, S. A. Telyakovskii, P. L. Ul'yanov, A. P. Khromov, V. A. Yurko, “Nikolai Petrovich Kuptsov (obituary)”, Uspekhi Mat. Nauk, 50:4(304) (1995),  71–72  mathnet  mathscinet; Russian Math. Surveys, 50:4 (1995), 727–729  isi
1994
85. A. M. Bogomolov, S. M. Nikol'skii, P. L. Ul'yanov, A. P. Khromov, “Seventh Saratov Winter School on Theory of Functions and Approximations”, Uspekhi Mat. Nauk, 49:5(299) (1994),  187–188  mathnet
86. A. M. Bogomolov, N. P. Kuptsov, S. M. Nikol'skii, S. B. Stechkin, P. L. Ul'yanov, A. P. Khromov, “Andrei Andreevich Privalov (obituary)”, Uspekhi Mat. Nauk, 49:1(295) (1994),  199–200  mathnet  mathscinet; Russian Math. Surveys, 49:1 (1994), 217–218  isi

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