03054nam 22006975 450 991043814330332120251113190012.01-283-90976-63-642-33406-710.1007/978-3-642-33406-1(CKB)2670000000279708(EBL)1082681(OCoLC)819631479(SSID)ssj0000798817(PQKBManifestationID)11438340(PQKBTitleCode)TC0000798817(PQKBWorkID)10757338(PQKB)10944506(DE-He213)978-3-642-33406-1(MiAaPQ)EBC1082681(PPN)168324385(EXLCZ)99267000000027970820121026d2013 u| 0engur|n|---|||||txtccrInvariant Random Fields on Spaces with a Group Action /by Anatoliy Malyarenko1st ed. 2013.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2013.1 online resource (270 p.)Probability and Its ApplicationsDescription based upon print version of record.3-642-44450-4 3-642-33405-9 Includes bibliographical references and index.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.           .Probability and Its ApplicationsProbabilitiesMathematical physicsCosmologyProbability TheoryMathematical PhysicsCosmologyProbabilities.Mathematical physics.Cosmology.Probability Theory.Mathematical Physics.Cosmology.519.23Malyarenko Anatoliy938186MiAaPQMiAaPQMiAaPQBOOK9910438143303321Invariant Random Fields on Spaces with a Group Action2532328UNINA