01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
4.01.1942
E-mail:
Keywords:
complex analysis,
hyperfunctions,
integral representations,
algebraic and geometric methods in partial differential equations,
mathematical methods in quantum theory.
Subject:
algebraic and geometric methods in partial differential equations,
mathematical methods in quantum theory.
Main publications:
Zharinov V. V., “Distributivnye struktury i ikh prilozheniya v kompleksnom analize”, Trudy MIAN, 162, 1983, 3–81
Zharinov V. V., Lecture notes on geometrical aspects of partial differential equations, World Scientific, Singapore, 1992
Vladimirov V. S., Zharinov V. V., Uravneniya matematicheskoi fiziki, Nauka, Moskva, 2000
V. V. Zharinov, “Algebra of gauge theories”, Theoret. and Math. Phys., 203:2 (2020), 584–595
2.
V. V. Zharinov, “Binary relations, Bäcklund transformations, and wave packet propagation”, Theoret. and Math. Phys., 205:1 (2020), 1245–1264
2019
3.
V. V. Zharinov, “Hamiltonian operators with zero-divergence constraints”, Theoret. and Math. Phys., 200:1 (2019), 923–937
4.
V. V. Zharinov, “Analysis in Noncommutative Algebras and Modules”, Proc. Steklov Inst. Math., 306 (2019), 90–101 (cited: 1)
2018
5.
V. V. Zharinov, “Analysis in Algebras and Modules”, Proc. Steklov Inst. Math., 301 (2018), 98–108 (cited: 4) (cited: 2)
6.
V. V. Zharinov, “Analysis in differential algebras and modules”, Theoret. and Math. Phys., 196:1 (2018), 939–956 (cited: 2)
2017
7.
V. V. Zharinov, “Lie–Poisson structures over differential algebras”, Theoret. and Math. Phys., 192:3 (2017), 1337–1349 (cited: 5) (cited: 5)
8.
V. V. Zharinov, “Hamiltonian operators in differential algebras”, Theoret. and Math. Phys., 193:3 (2017), 1725–1736 (cited: 2) (cited: 2)
2016
9.
V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692 (cited: 19) (cited: 12)
2015
10.
V. V. Zharinov, “Conservation laws, differential identities, and constraints of partial differential equations”, Theoret. and Math. Phys., 185:2 (2015), 1557–1581 (cited: 12) (cited: 8)
2014
11.
V. V. Zharinov, “A model of relativistic dynamics”, Proc. Steklov Inst. Math., 285 (2014), 120–131
12.
V. V. Zharinov, “Algebraic aspects of gauge theories”, Theoret. and Math. Phys., 180:2 (2014), 942–957 (cited: 4) (cited: 3)
2013
13.
V. V. Zharinov, “The formal de Rham complex”, Theoret. and Math. Phys., 174:2 (2013), 220–235 (cited: 6) (cited: 2) (cited: 2) (cited: 5)
2012
14.
V. V. Zharinov, “Cohomologies of spaces of Schwartz test functions”, Theoret. and Math. Phys., 170:3 (2012), 263–273 (cited: 2) (cited: 2) (cited: 2) (cited: 2)
15.
V. V. Zharinov, “Cohomologies of spaces of Schwartz distributions”, Theoret. and Math. Phys., 172:1 (2012), 879–884 (cited: 1) (cited: 1) (cited: 1) (cited: 1)
2011
16.
V. V. Zharinov, “Symmetries and conservation laws of difference equations”, Theoret. and Math. Phys., 168:2 (2011), 1019–1034
2010
17.
V. V. Zharinov, “Evolution systems with constraints in the form of zero-divergence conditions”, Theoret. and Math. Phys., 163:1 (2010), 401–413 (cited: 4) (cited: 1) (cited: 1) (cited: 4)
18.
V. V. Zharinov, “A differential-difference bicomplex”, Theoret. and Math. Phys., 165:2 (2010), 1401–1420 (cited: 1) (cited: 1) (cited: 1) (cited: 1)
2009
19.
V. V. Zharinov, “Green's formula for difference operators”, Theoret. and Math. Phys., 161:2 (2009), 1445–1450
20.
V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zav'yalov, V. A. Il'in, G. I. Marchuk, V. P. Mikhailov, E. I. Moiseev, S. M. Nikol'skii, B. V. Pal'tsev, “Aleksei Alekseevich Dezin (obituary)”, Russian Math. Surveys, 64:3 (2009), 553–560
2008
21.
V. V. Zharinov, “Operatsionnoe ischislenie v differentsialnykh algebrakh”, Mezhdunarodnaya konferentsiya po matematicheskoi fizike i ee prilozheniyam, Tezisy dokladov (Samara, 8–13 sentyabrya 2008 g.), 2008, 71–72
22.
V. V. Zharinov, “Simmetrii i zakony sokhraneniya evodyutsionnykh sistem na reshetke”, Vtoroe rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam, Tezisy dokladov (Moskva, MIAN, 5–11 oktyabrya 2008 g.), 2008, 39–40
23.
V. V. Zharinov, “Algebraic and geometric foundation of mathematical physics”, Lekts. Kursy NOC, 9, Steklov Math. Inst., RAS, Moscow, 2008, 3–209 , 210 pp.
24.
V. V. Zharinov, “Evolution systems on a lattice”, Theoret. and Math. Phys., 157:3 (2008), 1694–1706 (cited: 3) (cited: 3) (cited: 3) (cited: 3)
2006
25.
V. V. Zharinov, “Bäcklund correspondences for evolution equations in a multidimensional space”, Theoret. and Math. Phys., 147:1 (2006), 449–459 (cited: 1) (cited: 1)
2005
26.
V. V. Zharinov, “Hochschild Cohomology of the Algebra of Smooth Functions on the Torus”, Theoret. and Math. Phys., 144:3 (2005), 1247–1263 (cited: 2) (cited: 2) (cited: 2) (cited: 2)
2004
27.
V. V. Zharinov, “Hochschild Cohomologies of the Algebra of Smooth Functions”, Theoret. and Math. Phys., 140:3 (2004), 1195–1204 (cited: 2) (cited: 2) (cited: 2)
2003
28.
V. V. Zharinov, “Cohomology of a Poisson Algebra”, Theoret. and Math. Phys., 136:2 (2003), 1049–1065 (cited: 7) (cited: 7) (cited: 7)
2001
29.
V. V. Zharinov, “Cohomologies of the Lie Algebra of Vector Fields on a Line”, Theoret. and Math. Phys., 128:2 (2001), 957–968 (cited: 4) (cited: 4) (cited: 4)
2000
30.
V. V. Zharinov, “On the Cohomologies of the Heisenberg Algebras”, Proc. Steklov Inst. Math., 228 (2000), 52–66
31.
V. S. Vladimirov, V. V. Zharinov, Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2000 , 61 pp.
1999
32.
V. V. Zharinov, “On derivations of the Heisenberg algebra”, Theoret. and Math. Phys., 118:2 (1999), 129–151
1998
33.
V. V. Zharinov, “Operational calculus in differential algebras”, Integral Transform. Spec. Funct., 7:1-2 (1998), 145–158 (cited: 1) (cited: 2)
34.
V. V. Zharinov, “Algebraic constructions in generalized functions”, Generalized functions—linear and nonlinear problems (Novi Sad, 1996), Integral Transform. Spec. Funct., 6, no. 1-4, 1998, 347–356 (cited: 3) (cited: 3) (cited: 4)
1997
35.
V. V. Zharinov, “Secondary operational calculus”, The International Conference on Secondary Calculus and Cohomological Physics (Moscow, 1997), Diffiety Inst. Russ. Acad. Nat. Sci., Pereslavl' Zalesskiy, 1997 , 12 pp. (electronic)
1996
36.
V. V. Zharinov, “On differentiations in differential algebras”, Proceedings of the conference “Different Aspects of Differentiability”, II (Warsaw, 1995), Integral Transform. Spec. Funct., 4, no. 1-2, 1996, 163–180 (cited: 2) (cited: 1) (cited: 2)
1995
37.
V. V. Zharinov, “Convolution algebras of sequences”, Different aspects of differentiability (Warsaw, 1993), Dissertationes Math. (Rozprawy Mat.), 340, 1995, 337–342
1994
38.
V. S. Vladimirov, V. V. Zharinov, A. G. Sergeev, “Bogolyubov's “edge of the wedge” theorem, its development and applications”, Russian Math. Surveys, 49:5 (1994), 51–65 (cited: 5) (cited: 2)
1995
39.
Proc. Steklov Inst. Math., 203 (1995), 391–402
1993
40.
V. V. Zharinov, “Hyperfunctions and analytic functionals”, CWI Quarterly, 6:4 (1993), 317–333
1994
41.
V. V. Zharinov, “On spectral sequences of evolution systems with constraints”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 33–45 (cited: 1) (cited: 2)
1993
42.
A. A. Logunov, A. A. Slavnov, O. I. Zavialov, O. A. Khrustalev, V. P. Mikhailov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavialov, A. G. Sergeev, V. P. Pavlov, I. Ya. Aref'eva, Yu. A. Tserkovnikov, “The 70th birthday of V. S. Vladimirov”, Theoret. and Math. Phys., 94:1 (1993), 1–2
43.
I. V. Volovich, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, V. V. Zharinov, B. I. Zavyalov, V. A. Il'in, V. M. Millionshchikov, V. N. Mikhailov, A. G. Sergeev, “Vladimirov Vasilii Sergeevich (70-th birthday tribute)”, Differential Equations, 29:2 (1993), 305–313
1992
44.
V. V. Zharinov, Lecture notes on geometrical aspects of partial differential equations, Series on Soviet and East European Mathematics, 9, World Scientific Publishing Co. Inc., River Edge, NJ, 1992 , x+360 pp.
45.
V. V. Zharinov, “Differential algebras and low-dimensional conservation laws”, Math. USSR-Sb., 71:2 (1992), 319–329 (cited: 4) (cited: 5)
1990
46.
V. V. Zharinov, “Extrinsic geometry of differential equations and Green's formula”, Math. USSR-Izv., 35:1 (1990), 37–60 (cited: 1)
1989
47.
V. V. Zharinov, “String symmetries and conservation laws”, Theoret. and Math. Phys., 81:2 (1989), 1125–1133
48.
S. I. Pokhozhaev, V. V. Zharinov, M. A. Illarionov, V. P. Pikulin, Nelineinyi prikladnoi funktsionalnyi analiz, Ucheb. posobie po krusu vysshaya matematika, Izd-vo MEI, M., 1989 , 77 pp.
1988
49.
V. V. Zharinov, “Intrinsic geometry of differential equations”, Lectures in mathematics and its applications, 2, no. 2, Ross. Akad. Nauk, Inst. Mat. im. Steklova, Moscow; Tul'sk. Politekhn. Inst., Tula, 1988, 3–50
1989
50.
V. V. Zharinov, “On Bäcklund correspondences”, Math. USSR-Sb., 64:1 (1989), 277–293 (cited: 5)
1988
51.
V. V. Zharinov, “Green's formula for nonlinear systems of partial differential equations”, Soviet Math. Dokl., 36:2 (1988), 314–316
1987
52.
B. V. Boyarsky, O. A. Oleinik, A. V. Babin, M. I. Vishik, Yu. S. Ilyashenko, V. M. Millionshchikov, D. Serr, V. S. Vladimirov, I. V. Volovich, V. V. Zharinov, G. M. Zaslavsky, R. Z. Sagdeev, D. A. Ysikov, A. A. Chernikov, B. A. Malomed, M. I. Tribel'sky, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 42:3(255) (1987), 221–228
1988
53.
V. S. Vladimirov, V. V. Zharinov, “Analytic methods in mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 117–138
1986
54.
V. V. Zharinov, N. G. Marchuk, “Green's formulas and bilinear conservation laws”, Math. Notes, 40:4 (1986), 776–780
1988
55.
O. I. Bogoyavlenskii, V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. V. Zharinov, V. P. Mikhailov, “Boundary value problems of mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 65–105
1986
56.
V. V. Zharinov, “Conservation laws of evolution systems”, Theoret. and Math. Phys., 68:2 (1986), 745–751 (cited: 11) (cited: 21)
1985
57.
V. S. Vladimirov, V. Ya. Gutlyanskii, V. V. Zharinov, Yu. E. Hohlov, “All-Union School on complex methods in mathematical physics”, Uspekhi Mat. Nauk, 40:6(246) (1985), 173–177
1986
58.
V. V. Zharinov, “The geometry of analytic jets”, Math. USSR-Sb., 53:2 (1986), 367–383
1985
59.
V. V. Zharinov, “Distributive lattices and their applications in complex analysis”, Proc. Steklov Inst. Math., 162 (1985), 1–79
1983
60.
V. V. Zharinov (Ed.), Twistors and gauge fields, Mir, Moscow, 1983 , 366 pp.
1982
61.
V. V. Zharinov, “Conservation laws for linear systems”, Differ. Equations, 18 (1982), 350–356
1981
62.
V. V. Zharinov, “Distributive lattices and the “edge of the wedge” theorem of Bogolyubov”, Generalized functions and their applications in mathematical physics (Moscow, 1980), Akad. Nauk SSSR Vychisl. Tsentr, Moscow, 1981, 237–249
63.
V. S. Vladimirov, V. V. Zharinov, “Closed forms associated with linear differential operators”, Generalized functions and their applications in mathematical physics (Moscow, 1980), Akad. Nauk SSSR Vychisl. Tsentr, Moscow, 1981, 135–140
64.
V. V. Zharinov, “A generalization of Bogoljubov's “edge of the wedge” theorem”, Sov. Math. Dokl., 24 (1981), 425–429
1980
65.
V. V. Zharinov, “On an exact sequence of modules and Bogoljubov's “Edge of the wedge” theorem”, Sov. Math. Dokl., 21 (1980), 357–360
66.
V. S. Vladimirov, V. V. Zharinov, “Closed forms associated with linear differential operators”, Differ. Equations, 16 (1980), 534–552
1981
67.
V. V. Zharinov, “Fourier ultrahyperfunctions”, Math. USSR-Izv., 16:3 (1981), 479–511
1980
68.
V. V. Zharinov, “Quasiasymptotic behavior of Fourier hyperfunctions”, Theoret. and Math. Phys., 43:1 (1980), 302–306 (cited: 2) (cited: 1)
1979
69.
V. V. Zharinov, “Duality in families of locally convex subspaces”, Sov. Math. Dokl., 20 (1979), 792–794
70.
V. V. Zharinov, “Compact families of locally convex topological vector spaces, Fréchet–Schwartz and dual Fréchet–Schwartz spaces”, Russian Math. Surveys, 34:4 (1979), 105–143 (cited: 18)
1980
71.
V. V. Zharinov, “On the lattice of subspaces of the Fourier ultrahyperfunctions”, Math. USSR-Sb., 37:1 (1980), 118–132
72.
V. V. Zharinov, “Analytic representations of a class of analytic functionals containing Fourier hyperfunctions”, Math. USSR-Sb., 36:1 (1980), 59–73
1978
73.
V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals. II”, Theoret. and Math. Phys., 37:1 (1978), 843–855 (cited: 2)
1977
74.
V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals”, Theoret. and Math. Phys., 33:3 (1977), 1027–1039 (cited: 6)
1974
75.
V. V. Zharinov, “Preobrazovanie Laplasa odnogo klassa obobschennykh funktsii”, prilozhenie II k knige: A. G. Zemanyan, Integralnye preobrazovaniya obobschennykh funktsii, Nauka, M., 1974
1971
76.
V. V. Zharinov, “Integral representation of Wightman functions in two-dimensional space-time”, Theoret. and Math. Phys., 9:2 (1971), 1101–1107 (cited: 2)
77.
V. V. Zharinov, “On the Nakanishi representation”, Theoret. and Math. Phys., 6:2 (1971), 108–112
1970
78.
V. S. Vladimirov, V. V. Zharinov, “On a representation of the Jost–Lehmann–Dyson type”, Theoret. and Math. Phys., 3:3 (1970), 525–536 (cited: 1)
Presentations in Math-Net.Ru
1.
О динамике волновых пакетов I. V. Volovich, V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS December 31, 2020 11:00
2.
Binary relations and fuzzy logic Victor Zharinov International Conference on Mathematical Physics in Memory of Academic V. S. Vladimirov November 24, 2020 17:45
Lie-Poisson structures V. V. Zharinov International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth September 9, 2019 16:50
О представлении типа Йоста–Лемана–Дайсона V. V. Zharinov International Conference of Mathematical Physics dedicated to the memory of academician V. S. Vladimirov November 9, 2017 16:30
О преобразовании Беклунда V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS October 13, 2016 11:00
13.
On the Backlund transformation V. V. Zharinov The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics May 14, 2016 15:50
Об умножении обобщенных функций V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS February 5, 2015 11:00
V. V. Zharinov, Algebraic and geometric foundation of mathematical physics, Lekts. Kursy NOC, 9, 2008, 210 с. http://mi.mathnet.ru/book651
V. V. Zharinov, Distributive structures and their applications in complex analysis, Trudy Mat. Inst. Steklov., 162, 1983, 81 с. http://mi.mathnet.ru/book1177