Stochastic Processes and Functional Analysis : In Celebration of M.m. Rao's 65th Birthday book cover
1st Edition

Stochastic Processes and Functional Analysis
In Celebration of M.m. Rao's 65th Birthday

ISBN 9780824798017
Published January 2, 1997 by CRC Press
296 Pages

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Book Description

"Covers the areas of modern analysis and probability theory. Presents a collection of papers given at the Festschrift held in honor of the 65 birthday of M. M. Rao, whose prolific published research includes the well-received Marcel Dekker, Inc. books Theory of Orlicz Spaces and Conditional Measures and Applications. Features previously unpublished research articles by a host of internationally recognized scholars."

Table of Contents

Some problems of real and stochastic analysis arising from applications; quasi-periodic solutions of Hamiltonian evolution equations; scaling limits for lattice gas models; multivariate distributions with Gaussian conditional structure; the minimal projection from L1 onto Pi-n; proofs and proofs of the Eckart-Young theorem; an analytic semigroup associated to a degenerate evolution equation; degenerate nonlinear parabolic problems - the influence of probability theory; an application of measure theory to perfect competition; dilations of Hilbert-Schmidt class operator-valued measures and applications; transient solution of the M/M/1 queueing system via randomization; a characterization of Hida measure; new results in the simplex method in linear programming; an estimate of the semi stable measure of small balls in Banach spaces; nonsquare constants of Orlicz spaces; recursive multiple Wiener expansion for nonlinear filtering of diffusion processes; a Berry-Esseen type estimate for Hilbert space valued U-statistics and on Bootstrapping Von Mises statistics; on the strong form of the Faber theorem; nonlinear filtering theory for stochastic reaction-diffusion equations; an operator characterization of oscillatory harmonizable processes; operator algebraic aspects for sufficiency; nonlinear parabolic equations, Favard classes and regularity.

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