Stochastic processes and functional analysis : in celebration of M.M. Rao's 65th birthday

書誌事項

Stochastic processes and functional analysis : in celebration of M.M. Rao's 65th birthday

edited by Jerome A. Goldstein, Neil E. Gretsky, J.J. Uhl, Jr

(Lecture notes in pure and applied mathematics, v. 186)

Marcel Dekker, c1997

  • : pbk

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注記

Papers presented at a conference held at the University of California, Riverside, Nov. 18-20, 1994

"Published writings of M.M. Rao": p. xi-xv

Includes bibliographical references and index

内容説明・目次

内容説明

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 Features previously unpublished research articles by a host of internationally recognized scholars."

目次

  • 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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