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＜電子ブック＞
Invariant Random Fields on Spaces with a Group Action / by Anatoliy Malyarenko
(Probability and Its Applications)

版	1st ed. 2013.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2013
本文言語	英語
大きさ	XVIII, 262 p : online resource
著者標目	*Malyarenko, Anatoliy author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematical physics LCSH:Cosmology FREE:Probability Theory FREE:Mathematical Physics FREE:Cosmology
一般注記	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 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 it introduces 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.            HTTP:URL=https://doi.org/10.1007/978-3-642-33406-1

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