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Book Cover
E-book
Author Malyarenko, Anatoliy

Title Invariant random fields on spaces with a group action / Anatoliy Malyarenko
Edition 1st ed
Published New York : Springer, 2012, ©2013

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Description 1 online resource (xvii, 261 pages)
Series Probability and its applications
Probability and its applications.
Contents 1. Introduction -- 2. Spectral Expansions -- 3.L2 Theory of Invariant Random Fields -- 4. Sample Path Properties of Gaussian Invariant Random Fields -- 5. Applications -- A. Mathematical Background -- References -- Index
Summary The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as itintroduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering
Bibliography Includes bibliographical references and index
Subject Random fields.
Probabilities.
Mathematics.
Mathematics
Probability
probability.
mathematics.
applied mathematics.
MATHEMATICS -- Probability & Statistics -- Stochastic Processes.
Probabilidades
Matemáticas
Campos aleatorios
Mathematics
Probabilities
Random fields
Form Electronic book
ISBN 9783642334061
3642334067
3642334059
9783642334054