Proceedings of the St. Petersburg Mathematical Society

Author(s)

• Ladyzhenskai︠a︡, O. A. (Olʹga Aleksandrovna)
• Vershik, A. M. (Anatoliĭ Moiseevich)
• St. Petersburg Mathematical Society
• Uralʹt︠s︡eva, N. N. (Nina Nikolaevna)

Bibliographic Information

Proceedings of the St. Petersburg Mathematical Society

O.A. Ladyzhenskaya, A.M. Vershik, editors

（American Mathematical Society translations, ser. 2 ; v. 155, 159, 166, 188, 193, 199, 203, 205, 209, 214, 218, 219, 222, 228）

American Mathematical Society, c1993-

• v. 1
• v. 2
• v. 3
• v. 4
• v. 5
• v. 6
• v. 7
• v. 8
• v. 9
• v. 10
• v. 11
• v. 12
• v. 13
• v. 14

Other Title

Труды Ленинградского Математического Общества

Труды Санкт-Петербургского Математического Общества

Note

Vol. 1. Translation edited by David Louvish and Simeon Ivanov -- Vol. 2. O.A. Ladyzhenskaya, editor; translation edited by Simon Ivanov -- Vol. 3. O.A. Ladyzhenskaya, editor; translation edited by A.B. Sosinsky -- Vol. 4. O.A. Ladyzhenskaya, editor -- Vol. 5-14. N.N. Uraltseva, editor

Includes bibliographical references

Description and Table of Contents

Volume

v. 4 ISBN 9780821806135

Description

This volume is devoted to analysis, probability and applications. It includes useful surveys by Pastur on random operators and their applications, Feldman on harmonic analysis and analogues of Levi-Khinchin formulas on abelian groups, and Kerov on application of representation theory of symmetric groups to classical analysis. Also featured are products of random operators, convolution of abelian groups, orthogonal polynomials, and semiordered Banach spaces.

Table of Contents

The Gaussian oscillation on convex sets by S. G. Bobkov On the limit distribution of a homogeneous polynomial on the unit sphere of large dimension by V. V. Borzov The splitting method in the operator approximation problem by I. K. Daugavet Measures on Abelian groups (a survey) by G. M. Feldman On extension of analytic solutions of linear partial differential equations by A. Kaneko A differential model for the growth of Young diagrams by S. Kerov Approximation of functions on standard simplexes by V. V. Zhuk and G. I. Natanson Spectral properties of random selfadjoint operators and matrices (a survey) by L. A. Pastur Asymptotics of the spectrum for two model problems in the theory of liquid vibrations by T. A. Suslina Countable analogues of pseudocompact and Stone-Cech extensions by A. I. Veksler and A. V. Koldunov Julian Vasilevich Sokhotskii (1842-1927) by N. S. Ermolaeva.

Volume

v. 5 ISBN 9780821813904

Description

This volume contains 10 papers with new results on problems in mathematical physics, differential equations, and probability. Included also is an article on the dramatic history of mathematics in Leningrad in the 1930s.

Table of Contents

Lyapunov functions, Lozinskii norms, and the Hausdorff measure in the qualitative theory of differential equations by V. A. Boichenko and G. A. Leonov A system of embedded resonators by R. R. Gadyl'shin Some qualitative properties of equations of slow, normal, and fast diffusion type by A. V. Ivanov Asymptotic expansions in propagation of chaos for Boltzmann type equations by A. V. Ivanov, V. V. Nekrutkin, and N. I. Tur Asymptotic conditions at a point, selfadjoint extensions of operators, and the method of matched asymptotic expansions by S. A. Nazarov Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening by G. A. Seregin and J. Frehse General boundary-value problems for elliptic differential-difference equations by A. L. Skubachevskii and E. L. Tsvetkov Tightness in Schauder decomposable Banach spaces by Ch. Suquet Normal forms of equations of wave functions in new natural ellipsoidal coordinates by M. B. Tabanov Criterion for local invertibility of pseudodifferential operators with operator symbols and some applications by V. S. Rabinovich On the so-called Leningrad mathematical front by N. S. Ermolaeva.

Volume

v. 6 ISBN 9780821821121

Description

This collection presents new results in algebra, functional analysis, and mathematical physics. In particular, evolution and spectral problems related to small motions of viscoelastic fluid are considered. Specific areas covered in the book include functional equations and functional operator equations from the point of view of the $C^*$-algebraic approach, the existence of an isomorphism between certain ideals regarded as Galois modules, spectral problems in singularly perturbed domains, scattering theory, the existence of bounded solutions to the equation $\operatorname {div} u = f$ in a plane domain, and a compactification of a locally compact group. Also given in this title is an historic overview of the mathematical seminars held at St. Petersburg State University. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

Table of Contents

Evolution and spectral problems related to small motions of viscoelastic fluid by T. Ya. Azizov, N. D. Kopachevskii, and L. D. Orlova Functional equations and functional operator equations. A $C^*$-algebraic approach by A. B. Antonevich and A. V. Lebedev Isomorphism of ideals regarded as Galois modules of complete discrete valuation fields with residue field of positive characteristic by M. V. Bondarko and S. V. Vostokov Spectral problems in singularly perturbed domains and selfadjoint extensions of differential operators by I. V. Kamotskii and S. A. Nazarov Discrete spectrum in gaps of the spectrum under strong perturbations of fixed sign by V. A. Sloushch On bounded solutions to the equation div $u = f$ in a plane domain by N. D. Filonov Compactification of a locally compact group and the Noethericity of convolution operators with coefficients on quotient groups by B. Ya. Shteinberg Prehistory of seminars at the St. Petersburg/Petrograd/Leningrad University by N. S. Ermolaeva.

Volume

v. 7 ISBN 9780821827901

Description

The articles in this collection present new results in combinatorics, algebra, algebraic geometry, dynamical systems, analysis, and probability. Of particular interest is the survey article by A. N. Kirillov devoted to combinatorics of Young diagrams and related problems of representation theory. Also included are articles devoted to the eightieth birthday of renowned Russian mathematician, V. A. Rokhlin, ""Remembrances of V. A. Rokhlin"", by I. R. Shafarevich, and ""An Unfinished Project of V.A. Rokhlin"", by V. N. Sudakov. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

Table of Contents

Continuous lattices of partitions and lattices of continuous partitions by A. M. Vershik and Yu. V. Yakubovich Combinatorics of Young tableaux and configurations by A. N. Kirillov On integral models of affine toric varieties by B. Kunyavskii and B. Z. Moroz Rough asymptotics of probabilities of Chernoff type large deviations for von Mises functionals and $U$-statistics by Ya. Yu. Nikitin and E. V. Ponikarov Biorthogonal wavelet bases with rational masks by A. P. Petukhov $Q$-pseudodifference universal Drinfeld-Sokolov reduction by A. L. Pirozerski and M. A. Semenov-Tian-Shansky Effective construction of local parameters of irreducible components of an algebraic variety by A. L. Chistov Memorial by N. N. Uraltseva Remembrances of V. A. Rokhlin by I. R. Shafarevich An unfinished project of V. A. Rokhlin by V. N. Sudakov.

Volume

v. 8 ISBN 9780821829417

Description

The articles in this collection present new results in partial differential equations, numerical analysis, probability theory, and geometry. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

Table of Contents

Distribution of the supremum for linear combinations of local times of random processes by A. N. Borodin Sharp Jackson type inequalities for differentiable functions and minimization of the step of the moduli of continuity by O. L. Vinogradov and V. V. Zhuk Biorthogonal system of minimal splines on a nonuniform grid by Yu. K. Dem'yanovich S. N. Bernstein and direct and converse theorems of contructive function theory by V. V. Zhuk and G. I. Natanson On S. N. Bernstein's work in probability by I. A. Ibragimov Some trends in the development of the theory of fully nonlinear second order evolution equations by N. M. Ivochkina Coefficients in asymptotics of solutions to pseudodifferential equations on manifolds with conical points by R. Lauter, B. A. Plamenevskii, and O. V. Sarafanov The Brockett problem in the theory of nonstationary stabilization of linear differential equations by G. A. Leonov Discrete nonperiodic splines on a uniform grid by V. N. Malozemov and A. N. Sergeev Some extremal problems for Gaussian and empirical random fields by A. I. Nazarov and Ya. Yu. Nikitin Two theorems about convex polyhedra by F. V. Petrov and S. E. Rukshin.

Volume

v. 9 ISBN 9780821834053

Description

The articles in this collection present new results in analysis, combinatorics, probability, theory of functions, and partial differential equations. The material presented in the book will be of interest to a broad range of specialists. In several papers, the authors study the classical solvability of the Cauchy-Dirichlet problem for a class of parabolic systems, the solvability of the Dirichlet problem for the quasilinear second order parabolic systems, estimates for solutions of uniformly elliptic systems, and generalizations of the embedding theorems. In other papers, the authors describe a new method for the computation of correlation dimension, present generalizations of the fast Fourier transform method for wavelet expansions, and study the spectrum of two-dimensional periodic magnetic Schrodinger operator.

Table of Contents

On classical solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems in the case of two spatial variables by A. A. Arkhipova The Bernstein inequality in the de Branges spaces and embedding theorems by A. D. Baranov The oblique derivative problem in spaces with asymptotics on edges by V. O. Kal'vin Glassman's formula, fast Fourier transform, and wavelet expansions by V. N. Malozemov and S. M. Masharsky Dirichlet problem for quasilinear parabolic equations in domains with smooth closed edges by A. I. Nazarov Two-sided estimates of deviation from exact solutions of uniformly elliptic equations by S. I. Repin Calculation of correlation dimension of a time series based on enumeration of suboptimal solutions by J. V. Romanovsky and L. A. Evdokimov Approximation by entire functions of an infinite system of closed intervals by N. A. Shirokov Absolute continuity of the spectrum of the two-dimensional magnetic periodic Schrodinger operator with positive electric potential by R. G. Shterenberg.

Volume

v. 10 ISBN 9780821838617

Description

This book contains articles on analysis, theory of functions, partial differential equations, representation theory, and other areas of mathematics. It also includes two historical papers: an article about Professor G. I. Natanson and a note about the role of L. V. Kantorovich in developing computational mathematics in the Soviet Union. The book is suitable for graduate students and researchers interested in analysis and differential equations. It has many articles of interest for a broad mathematical audience.

Table of Contents

Dynamical inverse problem for the Schrodinger equation (BC-method) by S. A. Avdonin and M. I. Belishev On the Lyapunov dimension of the attractor of the Chirikov dissipative mapping by G. A. Leonov and M. S. Poltinnikova On solutions to the Dirichlet problem for an equation with $p$-Laplacian in a spherical layer by A. I. Nazarov Asymptotic analysis of an arbitrary spatial system of thin rods by S. A. Nazarov and A. S. Slutskii Kubo-Martin-Schwinger states on the group $GL(\infty)$ and admissible representations of $GL(\infty)^X$ by N. I. Nessonov $C^1$-version of Arnold's conjecture about limit sets of domains by S. Yu. Pilyugin $H_2$-optimal quadrature formula with Chebyshev weight of the second kind: Estimate for the remainder term by B. A. Samokish Calculus of pseudodifferential boundary value problems on manifolds with smooth edges by O. V. Sarafanov Garal$^\prime$d Isidorovich Natanson by O. L. Vinogradov, V. V. Zhuk, V. L. Fainshmidt, and V. P. Khavin Leonid Vital$^\prime$evich Kantorovich and computational mathematics by I. K. Daugavet, V. M. Ryabov, and B. A. Samokish Other titles in this series.

Volume

v. 14 ISBN 9780821848029

Description

This volume contains articles on analysis, probability, partial differential operators, frames, and other areas of mathematics. The volume also contains a comprehensive article about the classification of pseudo-regular convex polyhedra. This book is suitable for a broad group of graduate students and researchers interested in the topics presented here.

Volume

v. 2 ISBN 9780821875100

Description

This book contains papers on a wide range of topics, including diophantine equations, algebraic number theory, ring theory, theory of functions of a real variable, partial differential equations, approximation of functions, differential geometry, computing theory, and statistical mechanics. The last three papers present historical perspectives on mathematics in St. Petersburg.

Table of Contents

Galois representations in Honda's formal groups. Arithmetic of the group of points by D. G. Benois and S. V. Vostokov A lower bound for the complexity of the SPLIT-FIND problem for a pointer machine by D. Yu. Burago The finiteness theorem for three-dimensional manifolds of nonpositive curvature by S. V. Buyalo On two conjectures of Linnik by E. P. Golubeva and O. M. Fomenko Local approximations of functions given on manifolds by Yu. K. Demyanovich Seminorms and higher-order moduli of continuity by V. V. Zhuk Hyperstonean preimage of Alexandrov spaces by V. K. Zakharov The variational principle and completely nonlinear second-order equations by N. M Ivochkina Regularity and weak regularity of solutions of quasilinear elliptic systems by A. I. Koshelev and S. I. Chelkak Regularity of statistical solutions of the transport equations by N. B. Maslova On the symmetric envelope of averaging of symmetric ideals by A. A. Mekler On the history of mathematics at Leningrad State University at the end of the 1920s by S. C. Mikhlin On the history of the St. Petersburg and Petrograd Mathematica Societies by N. S. Ermolaeva St. Petersburg Mathematical Society by A. M. Vershik.

by "Nielsen BookData"

Details

• NCID: BA20006003
• ISBN:
  • 0821875051
  • 0821875108
  • 0821803875
  • 0821806130
  • 0821813900
  • 0821821121
  • 0821827901
  • 0821829416
  • 0821834053
  • 082183861X
  • 0821842048
  • 0821842056
  • 9780821844618
  • 9780821848029
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Providence, R.I.
• Pages/Volumes: v.
• Size: 26 cm
• Classification:
  • NDC8 : 410.4
• Parent Bibliography ID:
  • BA00126556