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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
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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$298 Member Price: US$238.40
Order Code: STEKLO/200

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.

• 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