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

Edited by , Edited by (University of Illinois), Edited by (University of Memphis, Tennessee, USA)

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Combining talks from a November 1994 conference in Riverside, California with later contributions, 22 research articles cover such areas of modern analysis and probability theory as persistency in Hamiltonian evolution equations, lattice gas models, Banach space theory, deterministic and stochastic differential equations, operator theory, the application of measure theory to perfect competition, and the simplex method in linear programming. Also included are a biography and bibliography of Indian-born M. M. Rao (mathematics, University of California-Riverside), and a list of Ph.D. theses completed under his direction. Annotation c. by Book News, Inc., Portland, Or.

"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 Features previously unpublished research articles by a host of internationally recognized scholars."
Preface iii(4) Contributors vii(2) Biography of M. M. Rao ix(2) Published Writings of M. M. Rao xi(5) Family Tree of Mathematical Ancestors xvi(1) Ph.D. Theses Completed Under the Direction of M. M. Rao and His Students xvii Some Problems of Real and Stochastic Analysis Arising from Applications 1(16) Malempati M. Rao Quasi-periodic Solutions of Hamiltonian Evolution Equations 17(22) Jean Bourgain Scaling Limits for Lattice Gas Models 39(6) S.R.S. Varadhan H.T. Yau Multivariate Distributions with Gaussian Conditional Structure 45(16) Barry Arnold Jacek Wesolowski The Minimal Projection from L1 onto n 61(10) Bruce L. Chalmers Frederic T. Metcalf Proofs and Proofs of the Eckart-Young Theorem 71(14) John S. Chipman An Analytic Semigroup Associated to a Degenerate Evolution Equation 85(16) Angelo Favini Jerome A. Goldstein Silvia Romanelli Degenerate Nonlinear Parabolic Problems: The Influence of Probability Theory 101(12) Jerome A. Goldstein Chin-Yuan Lin Kunyang Wang An Application of Measure Theory to Perfect Competition 113(10) Neil E. Gretsky Joseph M. Ostroy William R. Zame Dilations of Hilbert-Schmidt Class Operator-Valued Measures and Applications 123(14) Yuichiro Kakihara Transient Solution of the M/M/1 Queueing System via Randomization 137(10) Alan Krinik Daniel Marcus Dan Kalman Terry Cheng A Characterization of Hida Measure 147(6) Hui-Hsiung Kuo New Results in the Simplex Method in Linear Programming 153(18) Roger Pedersen An Estimate of the Semi-stable Measure of Small Balls in Banach Spaces 171(8) Balram Rajput Nonsquare Constants of Orlicz Spaces 179(20) Zhongdau Ren Recursive Multiple Wiener Expansion for Nonlinear Filtering of Diffusion Processes 199(10) Sergey Lototsky Boris Rosovskii A Berry-Esseen Type Estimate for Hilbert Space Valued U-statistics and On Bootstrapping Von Mises Statistics 209(6) V.V. Sazonov On the Strong Form of the Faber Theorem 215(4) Boris Shektman Nonlinear Filtering Theory for Stochastic Reaction-Diffusion Equations 219(16) Stephen L. Hobbs S.S. Sritharan An Operator Characterization of Oscillatory Harmonizable Processes 235(10) Randall J. Swift Operator Algebraic Aspects for Sufficiency 245(8) Makato Tsukada Nonlinear Parabolic Equations, Favard Classes, and Regularity 253(12) Gisele Ruiz Goldstein Index 265
Jerome Goldstein (Edited by) , Neil Gretsky (Edited by) , John Uhl (Edited by)