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

USD $280.00

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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 Features previously unpublished research articles by a host of internationally recognized scholars."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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