Persons: Zharinov, Viktor Viktorovich

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Zharinov, Viktor Viktorovich

Statistics
in MathSciNet:	72 (69)
in zbMATH:	51 (50)
in Web of Science:	45 (42)
in Scopus:	50 (50)

Professor

Doctor of physico-mathematical sciences (1981)

Speciality:

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
Zharinov V. V., “O kogomologiyakh algebry Geizenberga”, Trudy MIAN, 228, 2000, 61–75
Zharinov V. V., “Kogmologii algebry Li vektornykh polei na pryamoi”, TMF, 128:2 (2001), 147–160

https://www.mathnet.ru/eng/person17604

List of publications on Google Scholar

https://zbmath.org/authors/ai:zharinov.victor-v|zarinov.v-v

https://mathscinet.ams.org/mathscinet/MRAuthorID/200268

https://elibrary.ru/author_items.asp?authorid=6234

https://www.webofscience.com/wos/author/record/J-6828-2013

https://www.scopus.com/authid/detail.url?authorId=56336327700

List of publications:

scientific publications

by years

by types

by times cited

common list

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

1.	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
2.	V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692
3.	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
4.	V. V. Zharinov, “Conservation laws of evolution systems”, Theoret. and Math. Phys., 68:2 (1986), 745–751
5.	V. V. Zharinov, “Conservation laws, differential identities, and constraints of partial differential equations”, Theoret. and Math. Phys., 185:2 (2015), 1557–1581
6.	V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals”, Theoret. and Math. Phys., 33:3 (1977), 1027–1039
7.	V. V. Zharinov, “Cohomology of a Poisson Algebra”, Theoret. and Math. Phys., 136:2 (2003), 1049–1065
8.	V. S. Vladimirov, V. V. Zharinov, “Closed forms associated with linear differential operators”, Differ. Equations, 16 (1980), 534–552
9.	V. V. Zharinov, “Lie–Poisson structures over differential algebras”, Theoret. and Math. Phys., 192:3 (2017), 1337–1349
10.	V. V. Zharinov, “The formal de Rham complex”, Theoret. and Math. Phys., 174:2 (2013), 220–235
11.	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	6 ^[x]
12.	V. V. Zharinov, “Differential algebras and low-dimensional conservation laws”, Math. USSR-Sb., 71:2 (1992), 319–329
13.	V. V. Zharinov, “On Bäcklund correspondences”, Math. USSR-Sb., 64:1 (1989), 277–293
14.	V. V. Zharinov, “Analytic representations of a class of analytic functionals containing Fourier hyperfunctions”, Math. USSR-Sb., 36:1 (1980), 59–73
15.	V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals. II”, Theoret. and Math. Phys., 37:1 (1978), 843–855
16.	V. S. Vladimirov, V. V. Zharinov, “On a representation of the Jost–Lehmann–Dyson type”, Theoret. and Math. Phys., 3:3 (1970), 525–536
17.	V. V. Zharinov, “Cohomologies of the Lie Algebra of Vector Fields on a Line”, Theoret. and Math. Phys., 128:2 (2001), 957–968
18.	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
19.	V. S. Vladimirov, V. V. Zharinov, “Analytic methods in mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 117–138
20.	V. V. Zharinov, “Analysis in Algebras and Modules”, Proc. Steklov Inst. Math., 301 (2018), 98–108
21.	V. V. Zharinov, “Algebraic aspects of gauge theories”, Theoret. and Math. Phys., 180:2 (2014), 942–957
22.	V. V. Zharinov, “Evolution systems with constraints in the form of zero-divergence conditions”, Theoret. and Math. Phys., 163:1 (2010), 401–413
23.	V. V. Zharinov, “Green's formula for nonlinear systems of partial differential equations”, Soviet Math. Dokl., 36:2 (1988), 314–316
24.	V. V. Zharinov, “Hamiltonian operators in differential algebras”, Theoret. and Math. Phys., 193:3 (2017), 1725–1736
25.	V. V. Zharinov, “Evolution systems on a lattice”, Theoret. and Math. Phys., 157:3 (2008), 1694–1706
26.	V. V. Zharinov, “Bäcklund correspondences for evolution equations in a multidimensional space”, Theoret. and Math. Phys., 147:1 (2006), 449–459
27.	V. V. Zharinov, “Hochschild Cohomology of the Algebra of Smooth Functions on the Torus”, Theoret. and Math. Phys., 144:3 (2005), 1247–1263
28.	V. V. Zharinov, “Hochschild Cohomologies of the Algebra of Smooth Functions”, Theoret. and Math. Phys., 140:3 (2004), 1195–1204
29.	V. V. Zharinov, “On derivations of the Heisenberg algebra”, Theoret. and Math. Phys., 118:2 (1999), 129–151
30.	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	3 ^[x]
31.	Proc. Steklov Inst. Math., 203 (1995), 391–402
32.	V. V. Zharinov, “On spectral sequences of evolution systems with constraints”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 33–45
33.	V. V. Zharinov, “Navier–Stokes equations, the algebraic aspect”, Theoret. and Math. Phys., 209:3 (2021), 1657–1672
34.	V. V. Zharinov, “Analysis in Noncommutative Algebras and Modules”, Proc. Steklov Inst. Math., 306 (2019), 90–101
35.	V. V. Zharinov, “Analysis in differential algebras and modules”, Theoret. and Math. Phys., 196:1 (2018), 939–956
36.	V. V. Zharinov, “A model of relativistic dynamics”, Proc. Steklov Inst. Math., 285 (2014), 120–131
37.	V. V. Zharinov, “Cohomologies of spaces of Schwartz test functions”, Theoret. and Math. Phys., 170:3 (2012), 263–273
38.	V. V. Zharinov, “On the Cohomologies of the Heisenberg Algebras”, Proc. Steklov Inst. Math., 228 (2000), 52–66
39.	V. V. Zharinov, “Quasiasymptotic behavior of Fourier hyperfunctions”, Theoret. and Math. Phys., 43:1 (1980), 302–306
40.	V. V. Zharinov, “On the lattice of subspaces of the Fourier ultrahyperfunctions”, Math. USSR-Sb., 37:1 (1980), 118–132
41.	V. V. Zharinov, “Integral representation of Wightman functions in two-dimensional space-time”, Theoret. and Math. Phys., 9:2 (1971), 1101–1107
42.	V. V. Zharinov, “Dynamics of wave packets in the functional mechanics”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243027 , 10 pp.	1 ^[x]
43.	V. V. Zharinov, “Binary relations, Bäcklund transformations, and wave packet propagation”, Theoret. and Math. Phys., 205:1 (2020), 1245–1264
44.	V. V. Zharinov, “Cohomologies of spaces of Schwartz distributions”, Theoret. and Math. Phys., 172:1 (2012), 879–884
45.	V. V. Zharinov, “A differential-difference bicomplex”, Theoret. and Math. Phys., 165:2 (2010), 1401–1420
46.	V. V. Zharinov, “Operational calculus in differential algebras”, Integral Transform. Spec. Funct., 7:1-2 (1998), 145–158	1 ^[x]
47.	V. V. Zharinov, “Extrinsic geometry of differential equations and Green's formula”, Math. USSR-Izv., 35:1 (1990), 37–60
48.	V. V. Zharinov, N. G. Marchuk, “Green's formulas and bilinear conservation laws”, Math. Notes, 40:4 (1986), 776–780
49.	V. V. Zharinov, “Conservation laws for linear systems”, Differ. Equations, 18 (1982), 350–356
50.	V. V. Zharinov, “A generalization of Bogoljubov's “edge of the wedge” theorem”, Sov. Math. Dokl., 24 (1981), 425–429
51.	V. V. Zharinov, “Fourier ultrahyperfunctions”, Math. USSR-Izv., 16:3 (1981), 479–511
52.	Izv. Math., 87:5 (2023), 941–946
53.	V. V. Zharinov, “Algebra of gauge theories”, Theoret. and Math. Phys., 203:2 (2020), 584–595
54.	V. V. Zharinov, “Hamiltonian operators with zero-divergence constraints”, Theoret. and Math. Phys., 200:1 (2019), 923–937
55.	V. V. Zharinov, “Symmetries and conservation laws of difference equations”, Theoret. and Math. Phys., 168:2 (2011), 1019–1034
56.	V. V. Zharinov, “Green's formula for difference operators”, Theoret. and Math. Phys., 161:2 (2009), 1445–1450
57.	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
58.	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
59.	V. V. Zharinov, “Algebraic and geometric foundation of mathematical physics”, Lekts. Kursy NOC, 9, Steklov Math. Inst., RAS, Moscow, 2008, 3–209 , 210 pp.
60.	V. S. Vladimirov, V. V. Zharinov, Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2000 , 61 pp.
61.	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)
62.	V. V. Zharinov, “Convolution algebras of sequences”, Different aspects of differentiability (Warsaw, 1993), Dissertationes Math. (Rozprawy Mat.), 340, 1995, 337–342
63.	V. V. Zharinov, “Hyperfunctions and analytic functionals”, CWI Quarterly, 6:4 (1993), 317–333
64.	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.
65.	V. V. Zharinov, “String symmetries and conservation laws”, Theoret. and Math. Phys., 81:2 (1989), 1125–1133
66.	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
67.	V. V. Zharinov, “The geometry of analytic jets”, Math. USSR-Sb., 53:2 (1986), 367–383
68.	V. V. Zharinov, “Distributive lattices and their applications in complex analysis”, Proc. Steklov Inst. Math., 162 (1985), 1–79
69.	V. V. Zharinov (Ed.), Twistors and gauge fields, Mir, Moscow, 1983 , 366 pp.
70.	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
71.	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
72.	V. V. Zharinov, “On an exact sequence of modules and Bogoljubov's “Edge of the wedge” theorem”, Sov. Math. Dokl., 21 (1980), 357–360
73.	V. V. Zharinov, “Duality in families of locally convex subspaces”, Sov. Math. Dokl., 20 (1979), 792–794
74.	V. V. Zharinov, “Preobrazovanie Laplasa odnogo klassa obobschennykh funktsii”, prilozhenie II k knige: A. G. Zemanyan, Integralnye preobrazovaniya obobschennykh funktsii, Nauka, M., 1974
75.	V. V. Zharinov, “On the Nakanishi representation”, Theoret. and Math. Phys., 6:2 (1971), 108–112
76.	V. V. Zharinov, “Differential equations on manifolds and Lie algebras”, TMF (to appear)
77.	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
78.	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
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
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.	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
82.	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.

Presentations in Math-Net.Ru

1.	Виктор Викторович Жаринов. МИАН в лицах V. V. Zharinov МИАН в лицах November 7, 2024
2.	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
3.	Symmetries and conservation laws of the Liouville equation V. V. Zharinov International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100) January 9, 2023 15:30
4.	Dynamics of wave packets in the functional mechanics V. V. Zharinov International Conference "New Trends in Mathematical Physics" November 7, 2022 15:00
5.	Symmetries and conservation laws of the Liouville equation V. V. Zharinov International Conference "Functions Theory, Operators Theory and Quantum Information Theory" October 21, 2022 14:20
6.	Navier–Stokes equations, the algebraic aspect V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS October 7, 2021 11:00
7.	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
11.	On Hamiltonian operators in differential algebras V. V. Zharinov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2019 November 20, 2019 15:30
12.	Бинарные отношения и их перспективы в математической физике V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS November 14, 2019 11:00
13.	Гамильтоновы эволюционные системы уравнений в частных производных V. V. Zharinov International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics" September 16, 2019 15:30
14.	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
15.	Гамильтоновы операторы в дифференциальных алгебрах с приложением к эволюционным уравнениям, включая эволюцию со связями (продолжение) V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS June 14, 2018 11:00
16.	Гамильтоновы операторы в дифференциальных алгебрах с приложением к эволюционным уравнениям, включая эволюцию со связями V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS June 7, 2018 11:00
17.	Гамильтоновы системы уравнений в частных производных V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS May 24, 2018 11:00
18.	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
19.	Йост-Леман-Дайсон, автомодельность, квазиасимптотика V. V. Zharinov Conference on Mathematical Physics dedicated to the 70th anniversary of Boris Ivanovich Zavialov December 22, 2016 11:40
20.	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
22.	Когомологический анализ уравнений в частных производных (продолжение) V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS June 4, 2015 11:00
23.	Когомологический анализ уравнений в частных производных (продолжение) V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS May 14, 2015 11:00
24.	Когомологический анализ уравнений в частных производных V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS April 30, 2015 11:00
25.	Об умножении обобщенных функций V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS February 5, 2015 11:00
26.	В. С. Владимиров и приложения обобщенных функций в математической физике V. V. Zharinov Conference "Mathematical Physics. Vladimirov-90" dedicated to the 90th anniversary of academician V. S. Vladimirov November 13, 2013 15:00
27.	Когомологии основных и ообобщённых функций Шварца (продолжение) V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS September 29, 2011 11:00
28.	Когомологии основных и ообобщённых функций Шварца V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS September 15, 2011 11:00
29.	Законы сохранения низших степеней и дифференциальные тождества V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS April 1, 2010 11:00
30.	Conservation laws of evolution systems with constraints V. V. Zharinov Steklov Mathematical Institute Seminar February 18, 2010 16:00
31.	Эволюционные системы со связями и законы сохранения низших степеней V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS November 5, 2009 11:00
32.	Комплекс де Рама многомерной целочисленной решетки V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS October 19, 2006
33.	Соответствие Беклунда для многомерных эволюционных уравнений (продолжение) V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS January 12, 2006
34.	Соответствие Беклунда для многомерных эволюционных уравнений V. V. Zharinov Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS December 29, 2005
35.	Cohomology of a Poisson algebra V. V. Zharinov Steklov Mathematical Institute Seminar January 16, 2003

Books in Math-Net.Ru

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

Organisations

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow