Invariant Random Fields on Spaces with a Group Action

  • Anatoliy Malyarenko

Part of the Probability and Its Applications book series (PIA)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Anatoliy Malyarenko
    Pages 1-8
  3. Anatoliy Malyarenko
    Pages 9-89
  4. Anatoliy Malyarenko
    Pages 91-113
  5. Anatoliy Malyarenko
    Pages 171-201
  6. Anatoliy Malyarenko
    Pages 203-255
  7. Back Matter
    Pages 257-261

About this book


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. 




60G60, 60G17, 60G22, 85A40 cosmic microwave background limit theorems random field sample paths properties spectral expansion

Authors and affiliations

  • Anatoliy Malyarenko
    • 1
  1. 1.School of Education, Culture, and CommunicationMälardalen UniversityVästeråsSweden

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-33405-4
  • Online ISBN 978-3-642-33406-1
  • Series Print ISSN 1431-7028
  • Buy this book on publisher's site