Invariant Random Fields on Spaces with a Group Action

• Main Author: Malyarenko, Anatoliy (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Probability and Its Applications,
• Subjects: Mathematics.; Mathematical physics.; Probabilities.; Cosmology.; Probability Theory and Stochastic Processes.; Mathematical Applications in the Physical Sciences.

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...

Table of 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.