equations and models of mathematical physics; generalized functions; functions of several complex variables;manydimentional tauberian theory; p-adic analysis; number theory; numerical methods; quantum field theory.
Subject:
The first example of the form extreme and not perfect (with 6 variables) was constructed (the Voronoi hypothesis was confirmed). The boundary value problem for the transfer equation was investigated: correctness, new variational priciple, boundary conditions in the spherical harmonic method, singularity of solutions. A method for numerical solution of transfer equation for a multilayer ball was created and its convergence and stability were proved. The factorization method for numerical solution of diffusion equation for a multilayer ball was proposed and its convergence and stability were proved. Applications of the Monte Carlo method for solution the transfer equation of neutrons and radiation was developed. The quadrature formula of the Simpson type for numerical calculations of the Wiener integrals was proposed and its convergence was proved. The "C-convex hull" theorem was proved and its applications to axiomatic quantum field theory were given: the proof of dispersion relations, the "finite covariance" theorem (with N. N. Bogolubov). In papers (with N. N. Bogolubov, A. N. Tavkhelidze and B. I. Zavialov) the theoretical explanation of automodel behavior of form-factors of deep inelastic processes of lepton-hadron scattering by high energies and great momentum transfer was given on the basis of Bogolubov's axiomatic. The algebra of tempered holomorphic functions in tube domains over cone (boudary behavior, integral representations, the Fourier-transform) was investigated and were given applications to many-dimesional cojugate problems for holomorphic functions, to indicatrix of grouth of plurisubharmonic functions, to holomorphic functions with positive real part. More detailed the special case of the future tube has been considered. The many-dimensional linear passive systems with respect to a causal cone were investigated. A number of papers (with Yu. N. Drojjinov and B. I. Zavialov) were devoted to many-dimensional tauberian theorems for generalized functions. In papers (with I. V. Volovich and V. V. Zharinov) was proposed the general method of constraction conservation laws (local or not) both for linear and for nonlinear integrodiffere ntial equations. In papers with I. V. Volovich two problems of statistical physics have been investigated: the Gaussian model on semi-axis with interaction defined by the Toeplitz matrixes, and antiferromagnetic Ising model in magnetic field. The connection with the theory of orthogo nal polynomials was established, new estimates of determinants of the Toeplitz matrixes were given. Jointly with I. V. Volovich superanalysis (differential and integral calculus) was constru cted on the basis of concept of point superspace, and some applications to the supersymmet ric Yang–Mills equation were given. The Riemann–Hilbert problem of linear conjugation in the Nevanlinna and Smirnov classes and the associated Wiener–Hopf equation in class of ultradistributions were posed and solved. The $p$-adic quantum machanics for the harmonic oscillator (with I. V. Volovich and E. I. Zelenov) was formulated and studied. The pseudodifferential operator of (fractional) differentiation and integration for comp lex-valued functions of $p$-adic arguments was defined and studied. The spectral theory of the $p$-adic pseudodifferential operators of the Schroedinger type was worked out. The regularized adelic formulas for the tree string and superstring amplitudes (beta-functions) in any algebraic number field were derived, in particular, more detailed formulas has been obtained in the field of rational numbers, and in the one-class quadratic fields. Jointly with G. I. Marchuk the determination of the adjoint operator for nonlinear problems was suggested, their properties were studied and some applications were given. The new beta-function for evaluation of the tree massless superstring amplitudes was introduced and studied.
Biography
Graduated from Faculty of Mathematics an Mechanics of Leningrad State University (LSU), 1939–1941, 1945&ndash1948 (department of number theory). Ph.D. thesis was defended in 1953. D.Sc. thesis was defended in 1959. A list of my works contains about 300 titles including 9 books. Since 1969 I have been the head of the department of mathema tical physics at Steklov Mathematical institute of RAS. Since 1969 I have led the research seminar on mathe matical physics at Steklov Mathematical Institute of RAS. Since 1986 (since 1993 jointly with Ju. S. Osipov) I have led the all-institution research seminar on mathematics and its applications at Steklov Mathematical Institute of RAS.
In 1953 I was awarded Stalin preis of the USSR for realization a special assignm ent of goverment (jointly with others). In 1987 I was awarded State preis of the USSR for series of works "Development of mathematical methods in the theory of particle transfer", published in 1958–1983 (jointly with others). In 1971 I was awarded Liapounov Gold medal of Academy of Sciences of the USSR for outstanding works in mathematics and mechanics. In 1982 I was awarded the Bernarda Bolzano Gold medal of Czechoslovakian Academy of Sciences for merits in development of mathematical sciences. In 1999 I was awarded Bogolubov's Gold medal of Russian Academy of Sciences for outstanding works in mathematics, theoretical physics and mechanics. In 1997 I was awarded Bogolubov's preis of NAS of Ukraine for outstanding works in mathematics. In 1985 I was elected as a foreign member of Saxonian Academy of Sciences (Leipzig). In 1987 I was elected as a foreign member of Voyevodian Academy of Sciences and Arts (Novi Sad). In 1992 I was elected as a foreign member of Serbian Academy of Sciences and Arts (Belgrad). In 1987 I was elected as a honorary member of Czechoslovakian society of mathemati cians and physicists. In 1983 I was awarded Hero of the Socialist Labour by the Presidium of the Supreme Soviet of the USSR for the great merits in the development of the soviet science, training scientific specialists and in connection with sixtieth birthday. I was awarded by the goverment of the USSR two Lenin's orders (1975, 1983), two orders of Labour Red Banner (1967, 1973), order of the Great Pathriotic War (1985) and 14 medals.
Main publications:
Vladimirov V. S., “Chislennoe reshenie kineticheskogo uravneniya dlya shara”, Vychislitelnaya matematika, 3, 1958, 3–33
Vladimirov V. S., Volovich I. V., “Lokalnye i nelokalnye toki dlya nelineinykh uravnenii”, TMF, 62 (1985), 3–29
Vladimirov V. S., “On the Freund–Witten Adelic Formular for Veneziano Amplitudes”, Lett. Math. Phys., 27 (1993), 123–131
Vladimirov V. S., “Adelnye formuly dlya gamma- i beta-funktsii odnoklassnykh kvadratichnykh polei. Primeneniya k 4-chastichnym strunnym amplitudam”, Trudy Matem. in-ta im. V. A. Steklova, 228, 2000, 76–89
Vladimirov V. S., Uravneniya matematicheskoi fiziki, Izd. I–V, Nauka, M., 1967, 1971, 1976, 1981, 1983
V. S. Vladimirov, “Nonexistence of solutions of the $p$-adic strings”, Theoret. and Math. Phys., 174:2 (2013), 178–185
2012
2.
V. S. Vladimirov, “Scale-invariant asymptotic (automodel) behavior in quantum field theory”, Theoret. and Math. Phys., 170:1 (2012), 97–99
3.
D. V. Anosov, V. A. Vassiliev, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, V. A. Il'in, V. V. Kozlov, A. V. Kryazhimskiy, S. M. Nikol'skii, A. N. Parshin, V. M. Filippov, I. R. Shafarevich, “Lev Dmitrievich Kudryavtsev (obituary)”, Russian Math. Surveys, 67:3 (2012), 569–571
2011
4.
V. S. Vladimirov, “Solutions of $p$-adic string equations”, Theoret. and Math. Phys., 167:2 (2011), 539–546
5.
V. S. Vladimirov, “Mathematical questions for theory of nonlinear pseudodifferential equations with $p$-adic string”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 34–41
2010
6.
V. S. Vladimirov, “Regularized adelic formulas for string and superstring amplitudes in one-class quadratic fields”, Theoret. and Math. Phys., 164:3 (2010), 1101–1109
7.
V. S. Vladimirov, V. G. Kadyshevskii, A. A. Logunov, V. A. Matveev, Yu. S. Osipov, B. E. Paton, E. M. Primakov, V. A. Rubakov, V. A. Sadovnichii, A. N. Sisakyan, A. N. Skrinsky, D. V. Shirkov, “In memory of Al'bert Nikiforovich Tavkhelidze”, Phys. Usp., 53:4 (2010), 425–426
8.
Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov, “In memory of Evgenii Frolovich Mishchenko”, Proc. Steklov Inst. Math., 271 (2010), 1–2
2009
9.
V. S. Vladimirov, “On the equations for $p$-adic closed and open strings”, P-Adic Numbers, Ultrametric Analysis, and Applications, 1:1 (2009), 79–87
V. S. Vladimirov, “On Nonlinear Equations of $p$-adic Strings for Scalar Tachyon Fields”, Proc. Steklov Inst. Math., 265 (2009), 242–261
11.
V. S. Vladimirov, I. V. Volovich (red.-sost.), Vospominaniya o N. N. Bogolyubove (k 100-letiyu so dnya rozhdeniya), MIAN, M., 2009, 178 pp. http://www.mi.ras.ru/books/pdf/bogoliub.pdf
12.
V. S. Vladimirov, “N. N. Bogolyubov – matematik Bozhei milostyu”, Nikolai Nikolaevich Bogolyubov. Matematik. Mekhanik. Fizik, Dubna, 2009, 72–80
13.
V. S. Vladimirov, “N. N. Bogolyubov – matematik Bozhei milostyu”, Vospominaniya o N. N. Bogolyubove (k 100-letiyu so dnya rozhdeniya), MIAN, M., 2009, 63–73
14.
V. S. Vladimirov, “K 100-letiyu N. N. Bogolyubova (Kak voznik simvol M$\cap$F?)”, Vospominaniya o N. N. Bogolyubove (k 100-letiyu so dnya rozhdeniya), MIAN, M., 2009, 74–85
15.
V. S. Vladimirov, “Matematika i sozdanie pervykh obraztsov atomnogo oruzhiya. K 60-letiyu vzryva pervoi atomnoi bomby”, Atomnaya strategiya, 2009, no. 05(42), 27
16.
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
17.
V. I. Bogachev, V. S. Vladimirov, I. V. Volovich, B. S. Kashin, A. I. Kirillov, V. V. Kozlov, V. P. Maslov, V. A. Sadovnichii, A. M. Stepin, V. M. Tikhomirov, A. V. Uglanov, A. Yu. Khrennikov, A. M. Chebotarev, E. T. Shavgulidze, “Oleg Georgievich Smolyanov (on his 70th birthday)”, Russian Math. Surveys, 64:1 (2009), 183–185
18.
D. V. Anosov, I. V. Gaishun, V. A. Il'in, N. A. Izobov, I. T. Kiguradze, V. A. Kondrat'ev, V. V. Kozlov, L. D. Kudryavtsev, A. A. Martynyuk, E. F. Mishchenko, V. A. Pliss, N. Kh. Rozov, A. M. Samoilenko, I. N. Sergeev, T. K. Shemyakina, V. S. Vladimirov, “Vladimir Mikhailovich Millionshchikov (obituary)”, Differ. Equ., 45:8 (2009), 1234–1237
2008
19.
V. S. Vladimirov, “N. N. Bogolyubov i simvol MF”, Mezhdunarodnaya konferentsiya po matematicheskoi fizike i ee prilozheniyam, Tezisy dokladov (Samara, 8–13 sentyabrya 2008 g.), 2008, 15–18
20.
V. S. Vladimirov, “O nelineinykh uravneniyakh otkrytykh i zamknutykh strun”, Vtoroe rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam, Tezisy dokladov (Moskva, MIAN, 5–11 oktyabrya 2008 g.), 2008, 21
21.
V. S. Vladimirov, “The equation of the $p$-adic closed strings for the scalar tachyon field”, Sci. China Ser. A, 51:4 (2008), 754–764
V. S. Vladimirov, “The question of the asymptotic behavior as $|t|\to\infty$ of boundary value problem solutions for $p$-adic strings”, Theoret. and Math. Phys., 157:3 (2008), 1638–1645
23.
V. S. Vladimirov, V. A. Ilin, I. S. Lomov, E. I. Moiseev, B. V. Paltsev, V. K. Romanko, V. A. Sadovnichii, I. A. Shishmarëv, “Aleksei Alekseevich Dezin”, Differents. uravneniya, 44:12 (2008), 1708–1710
24.
V. S. Vladimirov, V. V. Voronov, V. G. Kadyshevskii, D. I. Kazakov, A. A. Logunov, V. A. Matveev, V. A. Rubakov, V. A. Sadovnichii, A. A. Slavnov, A. N. Sisakyan, A. N. Tavkhelidze, Yu. A. Trutnev, “Dmitrii Vasil'evich Shirkov (on his 80th birthday)”, Phys. Usp., 51:3 (2008), 311–312
2007
25.
V. I. Arnol'd, V. S. Vladimirov, V. V. Kozlov, E. F. Mishchenko, Yu. S. Osipov, B. E. Paton, A. N. Sisakyan, A. D. Sukhanov, L. D. Faddeev, K. V. Frolov, “Yurii Alekseevich Mitropol'skii (on his 90th birthday)”, Russian Math. Surveys, 62:4 (2007), 829–835
26.
V. S. Vladimirov, S. S. Gershtein, V. G. Kadyshevskii, V. A. Matveev, V. A. Petrov, A. N. Tavkhelidze, N. E. Tyurin, D. V. Shirkov, “Anatolii Alekseevich Logunov (on his eightieth birthday)”, Phys. Usp., 50:1 (2007), 109–110
2006
27.
V. S. Vladimirov, “Nonlinear equations for $p$-adic open, closed, and open-closed strings”, Theoret. and Math. Phys., 149:3 (2006), 1604–1616
28.
O. V. Besov, V. S. Vladimirov, V. V. Kozlov, S. M. Nikol'skii, Yu. S. Osipov, S. I. Pokhozhaev, V. A. Sadovnichii, “Vladimir Aleksandrovich Kondrat'ev (on his 70th birthday)”, Russian Math. Surveys, 61:6 (2006), 1189–1197
2005
29.
V. S. Vladimirov, V. I. Lebedev, “Yadernaya energetika i matematika”, Sovremennye problemy vychislitelnoi matematiki i matematicheskogo modelirovaniya. T. 2. Matematicheskoe modelirovanie, Nauka, M., 2005, 5–37
30.
V. I. Agoshkov, V. S. Vladimirov, I. V. Volovich, V. P. Dymnikov, V. P. Shutyaev, “Metod sopryazhennykh uravnenii i analiz slozhnykh sistem”, Sovremennye problemy vychislitelnoi matematiki i matematicheskogo modelirovaniya. T. 1. Vychislitelnaya matematika, Nauka, M., 2005, 257–342
31.
V. S. Vladimirov, “The equation of the $p$-adic open string for the scalar tachyon field”, Izv. Math., 69:3 (2005), 487–512
32.
V. S. Vladimirov, “On the non-linear equation of a $p$-adic open string for a scalar field”, Russian Math. Surveys, 60:6 (2005), 1077–1092
2004
33.
V. S. Vladimirov, “Adelic Formulas for Four-Particle String and Superstring Tree Amplitudes in One-Class Quadratic Fields”, Proc. Steklov Inst. Math., 245 (2004), 3–21
34.
V. S. Vladimirov, I. V. Volovich, “$p$-Adic Mathematical Physics”, Proc. Steklov Inst. Math., 245 (2004), 1–2
35.
V. S. Vladimirov, Ya. I. Volovich, “Nonlinear Dynamics Equation in $p$-Adic String Theory”, Theoret. and Math. Phys., 138:3 (2004), 297–309
36.
Bakhvalov N. S., V. S. Vladimirov, Gonchar A. A., et al., “Viktor Antonovich Sadovnichiĭ (on the occasion of his 65th birthday)”, Differ. Equ., 40:4 (2004), 467–476
2014
37.
V. S. Vladimirov, “Tables of integrals for complex-valued functions of p-adic arguments”, Proc. Steklov Inst. Math., 284, suppl. 2 (2014), S1–S59
2006
38.
V. S. Vladimirov, “Nikolai Nikolaevich Bogolyubov – mathematician by the grace of God”, Mathematical events of the twentieth century, Springer-Verlag, Berlin, 2006, 475–499
2003
39.
V. S. Vladimirov, I. V. Volovich, A. K. Gushchin, Yu. N. Drozhzhinov, V. A. Il'in, G. I. Marchuk, V. P. Mikhailov, E. I. Moiseev, S. M. Nikol'skii, B. V. Pal'tsev, “Aleksei Alekseevich Dezin (on his 80th birthday)”, Russian Math. Surveys, 58:6 (2003), 1237–1240
40.
T. D. Venttsel', V. S. Vladimirov, V. V. Zhikov, A. M. Il'in, V. A. Il'in, V. A. Kondrat'ev, L. D. Kudryavtsev, E. F. Mishchenko, S. M. Nikol'skii, Yu. S. Osipov, E. V. Radkevich, N. Kh. Rozov, V. A. Sadovnichii, L. D. Faddeev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, A. A. Shkalikov, “Ol'ga Arsen'evna Oleinik (obituary)”, Russian Math. Surveys, 58:1 (2003), 161–172
2002
41.
V. S. Vladimirov, Methods of the theory of generalized functions, Analytical Methods and Special Functions, 6, Taylor & Francis, London, 2002, xiv+311 pp.
42.
V. S. Vladimirov, “Left factorials, Bernoulli numbers, and the Kurepa conjecture”, Publ. Inst. Math. (Beograd) (N.S.), 72(86) (2002), 11–22
V. S. Vladimirov, Drozhzhinov Yu. N., Zav'yalov B. I., “Tauberian theorems for generalized functions in a scale of regularly varying functions and functionals”, Dédié à Jovan Karamata, Publ. Inst. Math. (Beograd) (N.S.), 71(85) (2002), 123–132
V. S. Vladimirov, “Beta functions of local fields of characteristic zero. Applications to string amplitudes”, Izv. Math., 66:1 (2002), 41–57
45.
A. A. Bolibrukh, A. G. Vitushkin, V. S. Vladimirov, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, A. G. Sergeev, P. L. Ul'yanov, L. D. Faddeev, E. M. Chirka, “Andrei Aleksandrovich Gonchar (on his 70th birthday)”, Russian Math. Surveys, 57:1 (2002), 191–198
46.
V. K. Beloshapka, V. S. Vladimirov, A. A. Gonchar, E. P. Dolzhenko, N. G. Kruzhilin, V. V. Napalkov, P. V. Paramonov, A. G. Sergeev, P. L. Ul'yanov, E. M. Chirka, “Anatolii Georgievich Vitushkin (on his 70th birthday)”, Russian Math. Surveys, 57:1 (2002), 183–190
2001
47.
V. S. Vladimirov, “Conservation laws for differential equations”, Functional-analytic and complex methods, their interactions, and applications to partial differential equations (2001, Graz), World Sci. Publ., River Edge, NJ, 2001, 137–142
2003
48.
Theory Probab. Appl., 46:3 (2003), 549–553
2001
49.
V. S. Vladimirov, L. D. Kudryavtsev, S. M. Nikol'skii, D. M. Klimov, F. L. Chernous'ko, “Vladilen Aleksandrovich Trenogin (on his 70th birthday)”, Russian Math. Surveys, 56:6 (2001), 1199–1207
50.
A. V. Arutyunov, N. S. Bakhvalov, M. E. Bogovskii, V. S. Vladimirov, A. A. Dezin, V. A. Il'in, E. F. Mishchenko, V. P. Maslov, S. M. Nikol'skii, S. V. Uspenskii, V. M. Filippov, “Vera Nikolaevna Maslennikova (obituary)”, Russian Math. Surveys, 56:4 (2001), 739–743
51.
V. S. Vladimirov, “N. N. Bogolyubov and Mathematics”, Russian Math. Surveys, 56:3 (2001), 607–613
52.
V. S. Vladimirov, R. I. Ilkaev, E. V. Malinovskaya, Yu. V. Prokhorov, V. I. Rodugin, Yu. A. Romanov, B. A. Sevast'yanov, I. D. Sofronov, Yu. A. Trutnev, L. P. Feoktistov, D. V. Shirkov, “Nikolai Aleksandrovich Dmitriev (obituary)”, Russian Math. Surveys, 56:2 (2001), 403–408
2000
53.
V. S. Vladimirov, Marchuk G. I., “On the determination of a conjugate operator for nonlinear problems”, Dokl. Akad. Nauk, 372:2 (2000), 165–168
Lebedev V. I., V. S. Vladimirov, “The nuclear power and mathematics”, Russian J. Numer. Anal. Math. Modelling, 15:3-4 (2000), 257–283
55.
V. S. Vladimirov, “Adelic Formulas for Gamma and Beta Functions of One-Class Quadratic Fields: Applications to 4-Particle Scattering String Amplitudes”, Proc. Steklov Inst. Math., 228 (2000), 67–80
56.
A. A. Dezin, Differentsialno-operatornye uravneniya. Metod modelnykh operatorov v teorii granichnykh zadach, Trudy MIAN, 229, ed. V. S. Vladimirov, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 2000, 176 pp.
57.
V. S. Vladimirov, “Nikolai Nikolaevich Bogolyubov and Mathematics”, Proc. Steklov Inst. Math., 228 (2000), 1–10
58.
Problemy sovremennoi matematicheskoi fiziki, Sbornik statei. K 90-letiyu so dnya rozhdeniya akademika Nikolaya Nikolaevicha Bogolyubova, Trudy MIAN, 228, ed. V. S. Vladimirov, E. F. Mischenko, Nauka, MAIK «Nauka/Interperiodika», M., 2000, 319 pp.
1999
59.
V. S. Vladimirov, “Ramified Characters of Idèle Groups of One-Class Quadratic Fields”, Proc. Steklov Inst. Math., 224 (1999), 107–114
V. S. Vladimirov, “Some problems of analysis on the field of $p$-adic numbers”, Generalized functions—linear and nonlinear problems (Novi Sad, 1996), Integral Transform. Spec. Funct., 6:1-4 (1998), 111–121
V. S. Vladimirov, et al., “Oleg Georgievich Smolyanov (on the occasion of his sixtieth birthday)”, Vestnik Moskov. Univ. Ser. I Mat. Mekh., 1998, no. 5, 69–70
64.
Differential Equations, 34:6 (1998), 721–724
65.
G. I. Arkhipov, V. I. Blagodatskikh, V. S. Vladimirov, S. M. Voronin, O. B. Lupanov, E. F. Mishchenko, Yu. V. Prokhorov, V. N. Chubarikov, A. B. Shidlovskii, “Anatolii Alekseevich Karatsuba (on his 60th birthday)”, Russian Math. Surveys, 53:2 (1998), 419–422
66.
V. S. Vladimirov, A. A. Dezin, A. A. Karatsuba, L. D. Kudryavtsev, M. P. Mineev, S. M. Nikol'skii, L. P. Postnikova, Yu. V. Prokhorov, V. N. Chubarikov, A. B. Shidlovskii, A. A. Yudin, “Aleksei Georgievich Postnikov (obituary)”, Russian Math. Surveys, 53:1 (1998), 199–204
67.
A. M. Baldin, V. S. Vladimirov, V. G. Kadyshevskii, A. A. Logunov, V. A. Matveev, L. V. Ovsyannikov, V. A. Sadovnichii, A. A. Slavnov, A. N. Tavkhelidze, Yu. A. Trutnev, A. T. Filippov, “Dmitrii Vasil'evich Shirkov (on his seventieth birthday)”, Phys. Usp., 41:3 (1998), 305–306
1997
68.
V. S. Vladimirov, “Adelic formulas for gamma- and beta-functions in algebraic number fields”, $p$-adic functional analysis (1996, Nijmegen), Lecture Notes in Pure and Appl. Math., 192, Dekker, New York, 1997, 383–395
69.
A. G. Vitushkin, V. S. Vladimirov, A. A. Gonchar, V. V. Napalkov, S. M. Nikol'skii, A. M. Sedletskii, P. L. Ul'yanov, Yu. N. Frolov, “Aleksei Fedorovich Leont'ev (1917–1987) (on the 80th anniversary of his birth)”, Russian Math. Surveys, 52:3 (1997), 635–637
70.
V. S. Vladimirov, E. F. Mishchenko, O. A. Oleinik, Yu. S. Osipov, A. M. Samoilenko, K. V. Frolov, “Yurii Alekseevich Mitropol'skii (on his 80th birthday)”, Russian Math. Surveys, 52:1 (1997), 233–236
71.
A. M. Baldin, V. S. Vladimirov, V. G. Kadyshevskii, V. A. Matveev, “Anatolii Alekseevich Logunov (on his seventieth birthday)”, Phys. Usp., 40:1 (1997), 105–106
1996
72.
V. S. Vladimirov, “Adelic formulas for gamma and beta functions in algebraic number fields”, Dokl. Akad. Nauk, 347:1 (1996), 11–15
V. S. Vladimirov, “Conservation laws for integro-differential equations”, World Congress of Nonlinear Analysts '92, Vol. I–IV (Tampa, FL, 1992), de Gruyter, Berlin, 1996, 3069–3083
75.
V. S. Vladimirov, “Adelic formulae for the gamma and beta functions of completions of algebraic number fields, and applications of them to string amplitudes”, Izv. Math., 60:1 (1996), 67–90
76.
V. S. Vladimirov, “Adele formulas for gamma- and beta-functions in algebraic number fields”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6, 11–12
1995
77.
V. S. Vladimirov, “$p$-adic numbers in mathematical physics”, Advanced mathematics: computations and applications (Novosibirsk, 1995), NCC Publ., Novosibirsk, 1995, 128–141
78.
O. V. Besov, S. V. Bochkarev, V. S. Vladimirov, E. A. Volkov, V. K. Dzyadyk, V. A. Il'in, B. S. Kashin, N. P. Korneichuk, L. D. Kudryavtsev, O. A. Oleinik, Yu. S. Osipov, S. I. Pokhozhaev, S. B. Stechkin, S. A. Telyakovskii, V. N. Temlyakov, P. L. Ul'yanov, “Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)”, Russian Math. Surveys, 50:6 (1995), 1321–1327
79.
Yu. S. Osipov, A. A. Gonchar, S. P. Novikov, V. I. Arnol'd, G. I. Marchuk, P. P. Kulish, V. S. Vladimirov, E. F. Mishchenko, “Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)”, Russian Math. Surveys, 50:3 (1995), 643–659
1994
80.
V. S. Vladimirov, “Some applications of $p$-adic numbers in mathematical physics”, Interface between physics and mathematics (1993, Hangzhou), World Sci. Publ., River Edge, NJ, 1994, 224–231
81.
V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, $p$-adicheskii analiz i matematicheskaya fizika, Nauka, M., 1994, 352 pp.
82.
V. S. Vladimirov, I. V. Volovich, Zelenov E. I., $p$-adic analysis and mathematical physics, Series on Soviet and East European Mathematics, 1, World Scientific Publishing Co. Inc., River Edge, NJ, 1994, xx+319 pp.
83.
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
84.
V. S. Vladimirov, A. A. Gonchar, G. M. Kobel'kov, V. I. Lebedev, G. I. Marchuk, S. M. Nikol'skii, P. L. Ul'yanov, “Nikolai Sergeevich Bakhvalov (on his sixtieth birthday)”, Russian Math. Surveys, 49:5 (1994), 189–198
1993
85.
V. S. Vladimirov, “Some applications of $p$-adic numbers in mathematical physics”, Continuum mechanics and related problems of analysis (Tbilisi, 1991), “Metsniereba”, Tbilisi, 1993, 321–329
86.
Phys. Dokl., 38:12 (1993), 486–489 (1994)
87.
V. S. Vladimirov, “On the Freund-Witten adelic formula for Veneziano amplitudes”, Lett. Math. Phys., 27:2 (1993), 123–131
L. L. Buishvili, V. S. Vladimirov, V. P. Kalashnikov, Yu. L. Klimontovich, V. G. Morozov, V. A. Moskalenko, N. M. Plakida, Yu. A. Tserkovnikov, D. V. Shirkov, I. R. Yukhnovskii, “Dmitrii Nikolaevich Zubarev (Obituary)”, Phys. Usp., 36:3 (1993), 195–196
1992
92.
V. S. Vladimirov, A. A. Logunov, “In memory of Nikolai Nikolaevich Bogolyubov (08.21.1909–02.13.1992)”, Theoret. and Math. Phys., 92:2 (1992), 817–819
1993
93.
V. S. Vladimirov, “On spectral properties of $p$-adic pseudodifferential operators of Schrödinger type”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 55–73
1992
94.
Differential Equations, 28:6 (1992), 735–736
95.
V. S. Vladimirov, A. A. Gonchar, A. B. Zhizhchenko, V. P. Maslov, Yu. A. Mitropol'skii, E. F. Mishchenko, S. P. Novikov, Ya. G. Sinai, L. D. Faddeev, “Nikolai Nikolaevich Bogolyubov (obituary)”, Russian Math. Surveys, 47:3 (1992), 1–3
96.
V. S. Vladimirov, L. D. Kudryavtsev, Yu. A. Mitropol'skii, S. M. Nikol'skii, B. V. Khvedelidze, “Georgii Semenovich Litvinchuk (on his sixtieth birthday)”, Russian Math. Surveys, 47:1 (1992), 271–274
97.
N. N. Bogolyubov, V. S. Vladimirov, A. A. Logunov, V. P. Maslov, E. F. Mishchenko, A. N. Tavkhelidze, L. D. Faddeev, A. A. Slavnov, D. V. Shirkov, V. G. Kadyshevskii, V. A. Matveev, V. A. Moskalenko, D. N. Zubarev, B. V. Medvedev, V. Ya. Fainberg, O. A. Khrustalev, I. Ya. Aref'eva, O. I. Zavialov, V. P. Pavlov, A. K. Pogrebkov, S. S. Horuzhy, “Mikhail Konstantinovich Polivanov (1930–1992)”, Theoret. and Math. Phys., 90:2 (1992), 107
1993
98.
V. S. Vladimirov, A. G. Sergeev, “On the one-hundredth anniversary of the birth of I. M. Vinogradov”, Russian Acad. Sci. Izv. Math., 41:2 (1993), 189–192
1991
99.
V. S. Vladimirov, Karatsuba A. A., Shafarevich I. R., “On the centennial of the birth of Academician I. M. Vinogradov”, Vestnik Akad. Nauk SSSR, 1991, no. 9, 91–103
100.
V. S. Vladimirov, Drozzinov Yu. N., Zavialov B. I., “Tauberian theorems for distributions”, International Symposium in Memory of Hua Loo Keng, Vol. II (Beijing, 1988), Springer, Berlin, 1991, 301–311
101.
V. S. Vladimirov, “The memory of Ivan Matveevitch Vinogradov”, Number theory, algebra, analysis and their applications, Collection of articles. Dedicated to the centenary of Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklov., 200, Nauka, Moscow, 1991, 3
1993
102.
V. S. Vladimirov, I. V. Volovich, “Application of $p$-adic numbers to mathematical physics”, Proc. Steklov Inst. Math., 200 (1993), 97–109
1991
103.
V. S. Vladimirov, Gushchin A. K., Dezin A. A., Drozhzhinov Yu. N., Zav'yalov V. I., Millionshchikov V. M., “Valentin Petrovich Mikhaĭlov (on the occasion of his sixtieth birthday)”, Differentsial'nye Uravneniya, 27:4 (1991), 725–730
104.
V. S. Vladimirov, A. K. Gushchin, A. A. Dezin, Yu. N. Drozhzhinov, B. I. Zavialov, V. M. Millionshchikov, “Valentin Petrovich Mikhailov (on his sixtieth birthday)”, Russian Math. Surveys, 46:4 (1991), 207–209
105.
V. S. Vladimirov, A. A. Gonchar, L. D. Kudryavtsev, S. M. Nikol'skii, S. A. Telyakovskii, P. L. Ul'yanov, “Sergei Borisovich Stechkin (on his seventieth birthday)”, Russian Math. Surveys, 46:3 (1991), 255–258
106.
V. S. Vladimirov, V. K. Dzyadyk, N. P. Korneichuk, L. D. Kudryavtsev, “Sergei Mikhailovich Nikol'skii (on his eighty-fifth birthday)”, Russian Math. Surveys, 46:3 (1991), 241–250
107.
Teoriya chisel, algebra, matematicheskii analiz i ikh prilozheniya, Sb. st. Posvyaschaetsya 100-letiyu so dnya rozhdeniya Ivana Matveevicha Vinogradova, Tr. MIAN, 200, ed. E. F. Mischenko, V. S. Vladimirov, Nauka, M., 1991, 344 pp.
1990
108.
V. S. Vladimirov, “An application of $p$-adic numbers in quantum mechanics”, Selected topics in statistical mechanics (1989, Dubna), World Sci. Publ., Teaneck, NJ, 1990, 282–297
109.
V. S. Vladimirov, Drožžinov Yu. N., Zavialov B. I., “Multi-dimensional Tauberian theorems for distributions”, Generalized functions and convergence (1988, Katowice), World Sci. Publ., Teaneck, NJ, 1990, 265–277
110.
V. S. Vladimirov, I. V. Volovich, “Construction of local and nonlocal conservation laws for nonlinear field equations”, Ann. Physik (7), 47:2-3 (1990), 228–238
V. S. Vladimirov, “On the spectrum of some pseudodifferential operators over the field of $p$-adic numbers”, Leningrad Math. J., 2:6 (1991), 1261–1278
113.
V. S. Vladimirov, I. V. Volovich, E. I. Zelenov, “Spectral theory in $p$-adic quantum mechanics, and representation theory”, Math. USSR-Izv., 36:2 (1991), 281–309
1990
114.
V. S. Vladimirov, Obobschennye funktsii i ikh primenenie, Novoe v zhizni, nauke, tekhnike: Seriya «Matematika. Kibernetika», 90, Znanie, M., 1990, 47 pp.
1993
115.
J. Soviet Math., 63:2 (1993), 149–158
1989
116.
V. S. Vladimirov, I. V. Volovich, “$p$-adic Schrödinger-type equation”, Lett. Math. Phys., 18:1 (1989), 43–53
I. A. Vinogradova, V. S. Vladimirov, A. A. Gonchar, E. P. Dolzhenko, V. Ya. Kozlov, S. M. Nikol'skii, P. L. Ul'yanov, “Dmitrii Evgen'evich Men'shov (obituary)”, Russian Math. Surveys, 44:5 (1989), 185–188
121.
B. V. Bazalii, M. I. Vishik, V. S. Vladimirov, O. A. Ladyzhenskaya, Yu. A. Mitropol'skii, S. P. Novikov, O. A. Oleinik, I. V. Skrypnik, “Ivan Il'ich Danilyuk (obituary)”, Russian Math. Surveys, 44:5 (1989), 175–183
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