Stochastic processes and functional analysis : a volume of recent advances in honor of M.M. Rao

著者

• Krinik, Alan C.
• Swift, Randall J.
• Rao, M. M. (Malempati Madhusudana)
• AMS Special Session in honor of M.M. Rao
• AMS Special Session on Stochastic Processes and Functional Analysis

書誌事項

Stochastic processes and functional analysis : a volume of recent advances in honor of M.M. Rao

edited by Alan C. Krinik, Randall J. Swift

（Lecture notes in pure and applied mathematics, v. 238）

M. Dekker, c2004

注記

Papers presented at an AMS special session in honor of M.M. Rao, held at the 2002 joint meetings of the American Mathematical Society and the Mathematical Association of America

"Published writings of M.M. Rao": p. vii-xiv

Includes bibliographical references

内容説明・目次

内容説明

This extraordinary compilation is an expansion of the recent American Mathematical Society Special Session celebrating M. M. Rao's distinguished career and includes most of the presented papers as well as ancillary contributions from session invitees. This book shows the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes, as made manifest in M. M. Rao's prolific research achievements. Featuring a biography of M. M. Rao, a complete bibliography of his published works, and meditations from former students, the book includes contributions from over 30 notable researchers.

目次

Biography of M. M. Rao, Published Writings of M. M. Rao, Ph.D. Theses Completed Under the Direction of M. M. Rao, Contributors, For M. M. Rao, An Appreciation of My Teacher, M. M. Rao, 1001 Words About Rao, A Guide to Life, Mathematical and Otherwise, Rao and the Early Riverside Years, On M. M. Rao, Reflections on M. M. Rao, 1: Stochastic Analysis and Function Spaces, 2: Applications of Sinkhorn Balancing to Counting Problems, 3: Zakai Equation of Nonlinear Filtering with Ornstein-Uhlenbeck Noise: Existence and Uniqueness, 4: Hyperfunctionals and Generalized Distributions, 5: Process-Measures and Their Stochastic Integral, 6: Invariant Sets for Nonlinear Operators, 7: The Immigration-Emigration with Catastrophe Model, 8: Approximating Scale Mixtures, 9: Cyclostationary Arrays: Their Unitary Operators and Representations, 10: Operator Theoretic Review for Information Channels, 11: Pseudoergodicity in Information Channels, 12: Connections Between Birth-Death Processes, 13: Integrated Gaussian Processes and Their Reproducing Kernel Hilbert Spaces, 14: Moving Average Representation and Prediction for Multidimensional Harmonizable Processes, 15: Double-Level Averaging on a Stratified Space, 16: The Problem of Optimal Asset Allocation with Stable Distributed Returns, 17: Computations for Nonsquare Constants of Orlicz Spaces, 18: Asymptotically Stationary and Related Processes, 19: Superlinearity and Weighted Sobolev Spaces, 20: Doubly Stochastic Operators and the History of Birkhoff s Problem 111, 21: Classes of Harmonizable Isotropic Random Fields, 22: On Geographically-Uniform Coevolution: Local Adaptation in Non-fluctuating Spatial Patterns, 23: Approximating the Time Delay in Coupled van der Pol Oscillators with Delay Coupling

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詳細情報

• NII書誌ID(NCID): BA66877221
• ISBN:
  • 0824754042
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xxii, 493 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA274.A1
• 件名:
  • LCSH : Stochastic processes -- Congresses
  • LCSH : Functional analysis -- Congresses
  • LCSH : Rao, M. M. (Malempati Madhusudana), 1929-
• 親書誌ID:
  • BA00256405