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, “Lie–Poisson structures over differential algebras”, Theoret. and Math. Phys., 192:3 (2017), 1337–1349
2016
2.
V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692 (cited: 2) (cited: 2)
2015
3.
V. V. Zharinov, “Conservation laws, differential identities, and constraints of partial differential equations”, Theoret. and Math. Phys., 185:2 (2015), 1557–1581 (cited: 3) (cited: 3)
2014
4.
V. V. Zharinov, “A model of relativistic dynamics”, Proc. Steklov Inst. Math., 285 (2014), 120–131
5.
V. V. Zharinov, “Algebraic aspects of gauge theories”, Theoret. and Math. Phys., 180:2 (2014), 942–957 (cited: 1) (cited: 1)
2013
6.
V. V. Zharinov, “The formal de Rham complex”, Theoret. and Math. Phys., 174:2 (2013), 220–235 (cited: 2) (cited: 2) (cited: 2) (cited: 2)
2012
7.
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)
8.
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
9.
V. V. Zharinov, “Symmetries and conservation laws of difference equations”, Theoret. and Math. Phys., 168:2 (2011), 1019–1034
2010
10.
V. V. Zharinov, “Evolution systems with constraints in the form of zero-divergence conditions”, Theoret. and Math. Phys., 163:1 (2010), 401–413 (cited: 1) (cited: 1) (cited: 1) (cited: 1)
11.
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
12.
V. V. Zharinov, “Green's formula for difference operators”, Theoret. and Math. Phys., 161:2 (2009), 1445–1450
13.
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
14.
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
15.
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
16.
V. V. Zharinov, “Algebraic and geometric foundation of mathematical physics”, Lekts. Kursy NOC, 9, Steklov Math. Inst., RAS, Moscow, 2008, 3–209 , 210 pp.
17.
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
18.
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
19.
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
20.
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
21.
V. V. Zharinov, “Cohomology of a Poisson Algebra”, Theoret. and Math. Phys., 136:2 (2003), 1049–1065 (cited: 7) (cited: 7) (cited: 7)
2001
22.
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
23.
V. V. Zharinov, “On the Cohomologies of the Heisenberg Algebras”, Proc. Steklov Inst. Math., 228 (2000), 52–66
24.
V. S. Vladimirov, V. V. Zharinov, Uravneniya matematicheskoi fiziki, Fizmatlit, M., 2000 , 61 pp.
1999
25.
V. V. Zharinov, “On derivations of the Heisenberg algebra”, Theoret. and Math. Phys., 118:2 (1999), 129–151
1998
26.
V. V. Zharinov, “Operational calculus in differential algebras”, Integral Transform. Spec. Funct., 7:1-2 (1998), 145–158
27.
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
28.
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) (cited: 1)
1996
29.
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: 1) (cited: 1) (cited: 1)
1995
30.
V. V. Zharinov, “Convolution algebras of sequences”, Different aspects of differentiability (Warsaw, 1993), Dissertationes Math. (Rozprawy Mat.), 340, 1995, 337–342
1994
31.
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: 4)
32.
V. V. Zharinov, “Low-dimensional conservation laws of PDE”, Izbrannye voprosy matematicheskoi fiziki i analiza, Sbornik statei. K semidesyatiletiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Tr. MIAN, 203, Nauka, M., 1994, 478–493 (cited: 3) ; Proc. Steklov Inst. Math., 203 (1995), 391–402
1993
33.
V. V. Zharinov, “Hyperfunctions and analytic functionals”, CWI Quarterly, 6:4 (1993), 317–333
34.
V. V. Zharinov, “O spektralnykh posledovatelnostyakh evolyutsionnykh sistem so svyazyami”, Matem. sb., 184:5 (1993), 39–54 (cited: 2) ; V. V. Zharinov, “On spectral sequences of evolution systems with constraints”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 33–45 (cited: 1)
35.
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
36.
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
37.
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. (cited: 8)
1990
38.
V. V. Zharinov, “Differentsialnye algebry i zakony sokhraneniya nizshikh razmernostei”, Matem. sb., 181:11 (1990), 1475–1485 (cited: 4) (cited: 1) ; V. V. Zharinov, “Differential algebras and low-dimensional conservation laws”, Math. USSR-Sb., 71:2 (1992), 319–329 (cited: 4)
1989
39.
V. V. Zharinov, “Vneshnyaya geometriya differentsialnykh uravnenii i formula Grina”, Izv. AN SSSR. Ser. matem., 53:4 (1989), 708–730 (cited: 1) ; V. V. Zharinov, “Extrinsic geometry of differential equations and Green's formula”, Math. USSR-Izv., 35:1 (1990), 37–60
40.
V. V. Zharinov, “String symmetries and conservation laws”, Theoret. and Math. Phys., 81:2 (1989), 1125–1133
41.
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
42.
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
43.
V. V. Zharinov, “O sootvetstvii Beklunda”, Matem. sb., 136(178):2(6) (1988), 274–291 (cited: 3) ; V. V. Zharinov, “On Bäcklund correspondences”, Math. USSR-Sb., 64:1 (1989), 277–293
1987
44.
V. V. Zharinov, “Formula Grina dlya nelineinykh sistem uravnenii v chastnykh proizvodnykh”, Dokl. AN SSSR, 296:4 (1987), 785–787 (cited: 2) ; V. V. Zharinov, “Green's formula for nonlinear systems of partial differential equations”, Soviet Math. Dokl., 36:2 (1988), 314–316
45.
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
1986
46.
V. S. Vladimirov, V. V. Zharinov, “Analiticheskie metody v matematicheskoi fizike”, Teoreticheskaya i matematicheskaya fizika, Sbornik obzornykh statei 3. K 50-letiyu instituta, Tr. MIAN SSSR, 175, 1986, 113–133 (cited: 5) (cited: 1) ; V. S. Vladimirov, V. V. Zharinov, “Analytic methods in mathematical physics”, Proc. Steklov Inst. Math., 175 (1988), 117–138
47.
V. V. Zharinov, N. G. Marchuk, “Green's formulas and bilinear conservation laws”, Math. Notes, 40:4 (1986), 776–780
48.
O. I. Bogoyavlenskii, V. S. Vladimirov, I. V. Volovich, A. K. Guschin, Yu. N. Drozhzhinov, V. V. Zharinov, V. P. Mikhailov, “Kraevye zadachi matematicheskoi fiziki”, Teoreticheskaya i matematicheskaya fizika, Sbornik obzornykh statei 3. K 50-letiyu instituta, Tr. MIAN SSSR, 175, 1986, 63–102 (cited: 13) (cited: 4) ; 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
49.
V. V. Zharinov, “Conservation laws of evolution systems”, Theoret. and Math. Phys., 68:2 (1986), 745–751 (cited: 8) (cited: 18)
1985
50.
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
1984
51.
V. V. Zharinov, “Geometriya analiticheskikh dzhetov”, Matem. sb., 125(167):3(11) (1984), 364–383; V. V. Zharinov, “The geometry of analytic jets”, Math. USSR-Sb., 53:2 (1986), 367–383
1983
52.
V. V. Zharinov, “Distributivnye struktury i ikh prilozheniya v kompleksnom analize”, Tr. MIAN SSSR, 162, 1983, 3–81 , 81 pp. (cited: 4) ; V. V. Zharinov, “Distributive lattices and their applications in complex analysis”, Proc. Steklov Inst. Math., 162 (1985), 1–79
53.
V. V. Zharinov (Ed.), Twistors and gauge fields, Mir, Moscow, 1983 , 366 pp.
1982
54.
V. V. Zharinov, “Conservation laws for linear systems”, Differ. Equations, 18 (1982), 350–356
1981
55.
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
56.
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
57.
V. V. Zharinov, “A generalization of Bogoljubov's “edge of the wedge” theorem”, Sov. Math. Dokl., 24 (1981), 425–429
1980
58.
V. V. Zharinov, “On an exact sequence of modules and Bogoljubov's “Edge of the wedge” theorem”, Sov. Math. Dokl., 21 (1980), 357–360
59.
V. S. Vladimirov, V. V. Zharinov, “Closed forms associated with linear differential operators”, Differ. Equations, 16 (1980), 534–552
60.
V. V. Zharinov, “Fure-ultragiperfunktsii”, Izv. AN SSSR. Ser. matem., 44:3 (1980), 533–570; V. V. Zharinov, “Fourier ultrahyperfunctions”, Math. USSR-Izv., 16:3 (1981), 479–511
61.
V. V. Zharinov, “Quasiasymptotic behavior of Fourier hyperfunctions”, Theoret. and Math. Phys., 43:1 (1980), 302–306 (cited: 1) (cited: 1)
1979
62.
V. V. Zharinov, “Duality in families of locally convex subspaces”, Sov. Math. Dokl., 20 (1979), 792–794
63.
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
64.
V. V. Zharinov, “O strukture podprostranstv fure-ultragiperfunktsii”, Matem. sb., 109(151):1(5) (1979), 129–145 (cited: 2) ; V. V. Zharinov, “On the lattice of subspaces of the Fourier ultrahyperfunctions”, Math. USSR-Sb., 37:1 (1980), 118–132
65.
V. V. Zharinov, “Analiticheskie predstavleniya odnogo klassa analiticheskikh funktsionalov, soderzhaschego fure-giperfunktsii”, Matem. sb., 108(150):1 (1979), 62–77 (cited: 5) ; V. V. Zharinov, “Analytic representations of a class of analytic functionals containing Fourier hyperfunctions”, Math. USSR-Sb., 36:1 (1980), 59–73
1978
66.
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
67.
V. V. Zharinov, “Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals”, Theoret. and Math. Phys., 33:3 (1977), 1027–1039 (cited: 1)
1974
68.
V. V. Zharinov, “Preobrazovanie Laplasa odnogo klassa obobschennykh funktsii”, prilozhenie II k knige: A. G. Zemanyan, Integralnye preobrazovaniya obobschennykh funktsii, Nauka, M., 1974
1971
69.
V. V. Zharinov, “Integral representation of Wightman functions in two-dimensional space-time”, Theoret. and Math. Phys., 9:2 (1971), 1101–1107 (cited: 2)
70.
V. V. Zharinov, “On the Nakanishi representation”, Theoret. and Math. Phys., 6:2 (1971), 108–112
1970
71.
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)
72.
V. V. Zharinov, “On Hamiltonian operators in differential algebras”, TMF (to appear)
О преобразовании Беклунда Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS October 13, 2016 11:00
3.
On the Backlund transformation The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics May 14, 2016 15:50
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
2017
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