Proceedings of the St. Petersburg Mathematical Society Volume IVAmerican Mathematical Soc., 1999 - 250 pàgines The 11 papers are devoted to analysis, probability, and applications. The topics include the limit distribution of a homogeneous polynomial on the unit sphere of large dimensions, a survey of measures on abelian groups, the extension of analytic solutions of linear partial differential equations, asymptotics of the spectrum for two model problems in the theory of liquid vibrations, and countable analogues of pseudo-compact and Stone-Cech extensions. One offering is a biographical sketch of Julian Vasil'evich Sochotskii (1842-1927). No index. Member prices are $92 for institutions and $69 for individuals. Annotation copyrighted by Book News, Inc., Portland, OR. |
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absolutely continuous approximation assertion assume assumptions asymptotic formula Bernstein polynomials Borel characteristic function clox Co(X coefficients compact set condition consider continuous function convergence convex COROLLARY corresponding Cz(f decomposition defined definition Denote dense discrete distribution µ dS(x eigenfunctions eigenvalues English transl equality equation estimate example exists F-space finite Fn(a Gaussian distribution Hence holds indecomposable distributions independent inequality infinitely divisible infinitely divisible distribution integral density Lemma limit linear functionals locally compact Lyapunov exponent Math Mathematical metrically transitive operator neighborhood obtain one-dimensional operator F oscillation Phys Plancherel point spectrum Poisson distribution polynomial potential probability problem PROOF properties Proposition proved pseudocompact pure point quasiperiodic R-operators R-structure random variables ratio satisfies Schrödinger operator selfadjoint sequence Sokhotskii solution space subspace t₁ Theorem 1.1 topology vector wr(f X₁ Young diagrams zero