Proceedings of the St. Petersburg Mathematical Society, Volume VIII
American Mathematical Soc., Apr 2, 2002
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.
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Acad Akad algebra approximation theory assume asymptotic Bellman equation Bernstein best approximation biorthogonal system boundary conditions Br(j Chebyshev coefficients compute cone consider constant constructive function theory continuous bounded solution continuous functions convex corresponding defined definition Denote differential Dirichlet problem discrete spline distribution Dokl Editor eigenvalue elliptic English transl equality example exists a number finite following assertion formula fully nonlinear function G Gaussian independent injective mapping interpolation problems interval introduced Jordan chains Lemma Leningrad limit theorem linear combination Lyapunov manifold Math Mathematics Subject Classification matrix meromorphic pseudodifferential operator method minimal splines modulus of continuity monotone moreover Moscow Nauk SSSR nonnegative notation obtain parabolic Petersburg Petersburg Mathematical Society poles polynomial probability theory proof properties Proposition proved pseudodifferential operators random variables relation Russian satisfies Section solvability space splines sums supersolution Theorem 2.1 Univ vector vertices viscosity solution zero