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, “Navier–Stokes equations, the algebraic aspect”, Theoret. and Math. Phys., 209:3 (2021), 1657–1672
5.
V. V. Zharinov, “Algebra of gauge theories”, Theoret. and Math. Phys., 203:2 (2020), 584–595
6.
V. V. Zharinov, “Binary relations, Bäcklund transformations, and wave packet propagation”, Theoret. and Math. Phys., 205:1 (2020), 1245–1264
7.
V. V. Zharinov, “Hamiltonian operators with zero-divergence constraints”, Theoret. and Math. Phys., 200:1 (2019), 923–937
8.
V. V. Zharinov, “Analysis in Noncommutative Algebras and Modules”, Proc. Steklov Inst. Math., 306 (2019), 90–101
9.
V. V. Zharinov, “Analysis in Algebras and Modules”, Proc. Steklov Inst. Math., 301 (2018), 98–108
10.
V. V. Zharinov, “Analysis in differential algebras and modules”, Theoret. and Math. Phys., 196:1 (2018), 939–956
11.
V. V. Zharinov, “Lie–Poisson structures over differential algebras”, Theoret. and Math. Phys., 192:3 (2017), 1337–1349
12.
V. V. Zharinov, “Hamiltonian operators in differential algebras”, Theoret. and Math. Phys., 193:3 (2017), 1725–1736
13.
V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692
14.
V. V. Zharinov, “Conservation laws, differential identities, and constraints of partial differential equations”, Theoret. and Math. Phys., 185:2 (2015), 1557–1581
15.
V. V. Zharinov, “A model of relativistic dynamics”, Proc. Steklov Inst. Math., 285 (2014), 120–131
16.
V. V. Zharinov, “Algebraic aspects of gauge theories”, Theoret. and Math. Phys., 180:2 (2014), 942–957
17.
V. V. Zharinov, “The formal de Rham complex”, Theoret. and Math. Phys., 174:2 (2013), 220–235
18.
V. V. Zharinov, “Cohomologies of spaces of Schwartz test functions”, Theoret. and Math. Phys., 170:3 (2012), 263–273
19.
V. V. Zharinov, “Cohomologies of spaces of Schwartz distributions”, Theoret. and Math. Phys., 172:1 (2012), 879–884
20.
V. V. Zharinov, “Symmetries and conservation laws of difference equations”, Theoret. and Math. Phys., 168:2 (2011), 1019–1034
21.
V. V. Zharinov, “Evolution systems with constraints in the form of zero-divergence conditions”, Theoret. and Math. Phys., 163:1 (2010), 401–413
22.
V. V. Zharinov, “A differential-difference bicomplex”, Theoret. and Math. Phys., 165:2 (2010), 1401–1420
23.
V. V. Zharinov, “Green's formula for difference operators”, Theoret. and Math. Phys., 161:2 (2009), 1445–1450
24.
V. V. Zharinov, “Evolution systems on a lattice”, Theoret. and Math. Phys., 157:3 (2008), 1694–1706
25.
V. V. Zharinov, “Bäcklund correspondences for evolution equations in a multidimensional space”, Theoret. and Math. Phys., 147:1 (2006), 449–459
26.
V. V. Zharinov, “Hochschild Cohomology of the Algebra of Smooth Functions on the Torus”, Theoret. and Math. Phys., 144:3 (2005), 1247–1263
27.
V. V. Zharinov, “Hochschild Cohomologies of the Algebra of Smooth Functions”, Theoret. and Math. Phys., 140:3 (2004), 1195–1204
28.
V. V. Zharinov, “Cohomology of a Poisson Algebra”, Theoret. and Math. Phys., 136:2 (2003), 1049–1065
29.
V. V. Zharinov, “Cohomologies of the Lie Algebra of Vector Fields on a Line”, Theoret. and Math. Phys., 128:2 (2001), 957–968
30.
V. V. Zharinov, “On the Cohomologies of the Heisenberg Algebras”, Proc. Steklov Inst. Math., 228 (2000), 52–66
31.
V. V. Zharinov, “On derivations of the Heisenberg algebra”, Theoret. and Math. Phys., 118:2 (1999), 129–151
32.
V. V. Zharinov, “Operational calculus in differential algebras”, Integral Transform. Spec. Funct., 7:1-2 (1998), 145–158
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
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)
35.
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
V. V. Zharinov, “Convolution algebras of sequences”, Different aspects of differentiability (Warsaw, 1993), Dissertationes Math. (Rozprawy Mat.), 340, 1995, 337–342
37.
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
38.
Proc. Steklov Inst. Math., 203 (1995), 391–402
39.
V. V. Zharinov, “Hyperfunctions and analytic functionals”, CWI Quarterly, 6:4 (1993), 317–333
40.
V. V. Zharinov, “On spectral sequences of evolution systems with constraints”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 33–45
41.
V. V. Zharinov, “Differential algebras and low-dimensional conservation laws”, Math. USSR-Sb., 71:2 (1992), 319–329
42.
V. V. Zharinov, “Extrinsic geometry of differential equations and Green's formula”, Math. USSR-Izv., 35:1 (1990), 37–60
43.
V. V. Zharinov, “String symmetries and conservation laws”, Theoret. and Math. Phys., 81:2 (1989), 1125–1133
44.
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
45.
V. V. Zharinov, “On Bäcklund correspondences”, Math. USSR-Sb., 64:1 (1989), 277–293
46.
V. V. Zharinov, “Green's formula for nonlinear systems of partial differential equations”, Soviet Math. Dokl., 36:2 (1988), 314–316
47.
V. S. Vladimirov, V. V. Zharinov, “Analytic methods in mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 117–138
48.
V. V. Zharinov, N. G. Marchuk, “Green's formulas and bilinear conservation laws”, Math. Notes, 40:4 (1986), 776–780
49.
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
50.
V. V. Zharinov, “Conservation laws of evolution systems”, Theoret. and Math. Phys., 68:2 (1986), 745–751
51.
V. V. Zharinov, “The geometry of analytic jets”, Math. USSR-Sb., 53:2 (1986), 367–383
52.
V. V. Zharinov, “Conservation laws for linear systems”, Differ. Equations, 18 (1982), 350–356
53.
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
54.
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
55.
V. V. Zharinov, “A generalization of Bogoljubov's “edge of the wedge” theorem”, Sov. Math. Dokl., 24 (1981), 425–429
56.
V. V. Zharinov, “On an exact sequence of modules and Bogoljubov's “Edge of the wedge” theorem”, Sov. Math. Dokl., 21 (1980), 357–360
57.
V. S. Vladimirov, V. V. Zharinov, “Closed forms associated with linear differential operators”, Differ. Equations, 16 (1980), 534–552
58.
V. V. Zharinov, “Fourier ultrahyperfunctions”, Math. USSR-Izv., 16:3 (1981), 479–511
59.
V. V. Zharinov, “Quasiasymptotic behavior of Fourier hyperfunctions”, Theoret. and Math. Phys., 43:1 (1980), 302–306
60.
V. V. Zharinov, “Duality in families of locally convex subspaces”, Sov. Math. Dokl., 20 (1979), 792–794
61.
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
62.
V. V. Zharinov, “On the lattice of subspaces of the Fourier ultrahyperfunctions”, Math. USSR-Sb., 37:1 (1980), 118–132
63.
V. V. Zharinov, “Analytic representations of a class of analytic functionals containing Fourier hyperfunctions”, Math. USSR-Sb., 36:1 (1980), 59–73
64.
V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals. II”, Theoret. and Math. Phys., 37:1 (1978), 843–855
65.
V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals”, Theoret. and Math. Phys., 33:3 (1977), 1027–1039
66.
V. V. Zharinov, “Preobrazovanie Laplasa odnogo klassa obobschennykh funktsii”, prilozhenie II k knige: A. G. Zemanyan, Integralnye preobrazovaniya obobschennykh funktsii, Nauka, M., 1974
67.
V. V. Zharinov, “Integral representation of Wightman functions in two-dimensional space-time”, Theoret. and Math. Phys., 9:2 (1971), 1101–1107
68.
V. V. Zharinov, “On the Nakanishi representation”, Theoret. and Math. Phys., 6:2 (1971), 108–112
69.
V. S. Vladimirov, V. V. Zharinov, “On a representation of the Jost–Lehmann–Dyson type”, Theoret. and Math. Phys., 3:3 (1970), 525–536
Books
70.
V. V. Zharinov, “Algebraic and geometric foundation of mathematical physics”, Lekts. Kursy NOC, 9, Steklov Math. Inst., RAS, Moscow, 2008, 3–209 , 210 pp.
71.
V. S. Vladimirov, V. V. Zharinov, Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2000 , 61 pp.
72.
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.
73.
V. V. Zharinov, “Distributive lattices and their applications in complex analysis”, Proc. Steklov Inst. Math., 162 (1985), 1–79
74.
V. V. Zharinov (Ed.), Twistors and gauge fields, Mir, Moscow, 1983 , 366 pp.
Proceedings
75.
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
76.
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
Popular science or education materials
77.
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.
Information matherials
78.
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
79.
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
Personalia
80.
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
81.
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
82.
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
Navier–Stokes equations, the algebraic aspect V. V. Zharinov 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 6, 2023 11:10
Navier-Stokes equations in algebraic approach V. V. Zharinov International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich September 30, 2021 10:35
8.
A model of relativistic dynamics V. V. Zharinov Mathematical Physics, Dynamical Systems and Infinite-Dimensional
Analysis – 2021 July 6, 2021 19:00
9.
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
10.
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
21.
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