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Number Theory, Algebra, Mathematical Analysis, and Their Applications
Edited by: V. S. Vladimirov, I. R. Shafarevich, A. A. Karatsuba, and K. I. Oskolkov

Proceedings of the Steklov Institute of Mathematics
1993; 373 pp; softcover
Volume: 200
ISBN-10: 0-8218-3150-X
ISBN-13: 978-0-8218-3150-2
List Price: US$313
Member Price: US$250.40
Order Code: STEKLO/200
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This book, dedicated to the 100th anniversary of the birth of I. M. Vinogradov, contains papers ranging over various areas of mathematics, including number theory, algebra, theory of functions of a real variable and of a complex variable, ordinary differential equations, optimal control, partial differential equations, mathematical physics, mechanics, and probability.


Research mathematicians.

Table of Contents

  • V. S. Vladimirov -- In memoriam: Ivan Matveevich Vinogradov
  • A. V. Arutyunov and V. I. Blagodatskikh -- The maximum principle for differential inclusions with phase constraints
  • S. M. Aseev -- Smooth approximations of differential inclusions, and the optimal time problem
  • V. A. Baĭkov, R. K. Gazizov, and N. Kh. Ibragimov -- Approximate symmetries and conservation laws
  • A. V. Bitsadze -- Singular integral equations of the first kind
  • V. A. Bykovskiĭ and A. I. Vinogradov -- The mean value of Hecke series of cusp forms twisted with quadratic characters on the critical line
  • V. A. Vatutin -- A limit theorem for a critical Bellman-Harris branching process with final types
  • V. S. Vinogradov -- On reduction of a first-order elliptic system on the plane to a complex special form
  • V. S. Vladimirov and I. V. Volovich -- Application of \(p\)-adic numbers in mathematical physics
  • E. A. Volkov -- Approximate conformal mapping of domains with periodic structure by the block method
  • S. M. Voronin -- On the method of I. M. Vinogradov
  • N. Gafurov -- On the number of divisors of a quadratic form
  • A. A. Gonchar, E. A. Rakhmanov, and S. P. Suetin -- On the convergence of Padé approximations of orthogonal expansions
  • M. I. D'yachenko -- Convex sets and multiple Fourier series
  • V. A. Iskovskikh -- Generators in the two-dimensional Cremona group over a nonclosed field
  • D. Ismoilov -- Estimates of complete character sums of polynomials
  • A. A. Karatsuba -- On a density theorem
  • A. Yu. Kolesov and E. F. Mishchenko -- On the mechanism of collapse of the invariant torus of the van der Pol relaxation system with harmonic action on the slow variable
  • Yu. A. Kuperin, Yu. B. Mel'nikov, and S. P. Merkur'ev -- Quantum scattering for effective nonabelian interactions
  • A. F. Lavrik -- Arithmetic equivalents of functional equations of Riemann type
  • P. I. Lizorkin -- Approximation on a Riemannian manifold
  • G. A. Lomadze -- On some arithmetic applications of the theory of modular forms
  • V. I. Lutsenko and R. S. Yulmukhametov -- A generalization of the Paley-Wiener theorem to functionals on Smirnov spaces
  • V. V. Napalkov and I. A. Rudakov -- Differential operators in nonconvex domains
  • M. S. Nikol'skiĭ -- On weak convergence of multivalued mappings
  • K. I. Oskolkov -- Vinogradov series in the Cauchy problem for equations of Schrödinger type
  • Yu. A. Rozanov -- General boundary value problems for stochastic partial differential equations
  • A. M. Sedletskiĭ -- On uniform convergence of nonharmonic Fourier series
  • I. V. Skrypnik -- Regularity of a boundary point for a quasilinear elliptic equation of higher order
  • S. A. Telyakovskiĭ -- Convergence of trigonometric series in the metric of \(L\) with coefficients that seldom change
  • V. N. Temlyakov -- Error estimates for Fibonacci quadrature formulas for classes of functions with bounded mixed derivative
  • E. M. Chirka -- On the extension of pluripolar singular sets
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