Stochastic processes and functional analysis : in celebration of M.M. Rao's 65th birthday : [a conference in Modern Analysis and Probability at the University of California, Riverside, Nov. 18-20, 1994

"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 Features previously unpublished research articles by a host of internationally recognized scholars." Cover......Page 1 Half Title......Page 2 Title Page......Page 8 Copyright Page......Page 9 Preface......Page 10 Table of Contents......Page 12 Contributors......Page 14 Biography of M. M. Rao......Page 16 Published Writings of M. M. Rao......Page 18 Family Tree of Mathematical Ancestors......Page 23 Ph.D. Theses Completed Under the Direction of M. M. Rao and His Students......Page 24 Some Problems of Real and Stochastic Analysis Arising from Applications......Page 28 Quasi-periodic Solutions of Hamiltonian Evolution Equations......Page 44 Scaling Limits for Lattice Gas Models......Page 66 Multivariate Distributions with Gaussian Conditional Structure......Page 72 The Minimal Projection from L1 onto πn......Page 88 “Proofs” and Proofs of the Eckart-Young Theorem......Page 98 An Analytic Semigroup Associated to a Degenerate Evolution Equation......Page 112 Degenerate Nonlinear Parabolic Problems: The Influence of Probability Theory......Page 128 An Application of Measure Theory to Perfect Competition......Page 140 Dilations of Hilbert-Schmidt Class Operator-Valued Measures and Applications......Page 150 Transient Solution of the M/M/1 Queueing System via Randomization......Page 164 A Characterization of Hida Measure......Page 174 New Results in the Simplex Method in Linear Programming......Page 180 An Estimate of the Semi-stable Measure of Small Balls in Banach Spaces......Page 198 Nonsquare Constants of Orlicz Spaces......Page 206 Recursive Multiple Wiener Expansion for Nonlinear Filtering of Diffusion Processes......Page 226 A Berry-Esseen Type Estimate for Hilbert Space Valued U-statistics and On Bootstrapping Von Mises Statistics......Page 236 On the Strong Form of the Faber Theorem......Page 242 Nonlinear Filtering Theory for Stochastic Reaction-Diffusion Equations......Page 246 An Operator Characterization of Oscillatory Harmonizable Processes......Page 262 Operator Algebraic Aspects for Sufficiency......Page 272 Nonlinear Parabolic Equations, Favard Classes, and Regularity......Page 280 Index......Page 292 Featuring previously unpublished research articles by a host of internationally recognized scholars, Stochastic Processes and Functional Analysis offers contribution on themes such as persistency in Hamiltonian evolution equations ... lattice gas models ... Banach space theory ... deterministic and stochastic differential equations ... operator theory ... and more. Furnished with over 300 references and 750 display equations and figures, Stochastic Processes and Functional Analysis is indispensable for stochastic and functional analysts, stochastic processes researchers, research mathematicians, theoretical physicists and statisticians, and graduate students in these disciplines