Invariant random fields on spaces with a group action Anatoliy Malyarenko

Format:

Book

Author/Creator:

Malyarenko, Anatoliy

Series:

Probability and its applications

Language:

English

Subjects (All):

Random fields.

Probabilities.

Mathematics.

Probability.

probability.

mathematics.

applied mathematics.

Medical Subjects:

Mathematics.

Probability.

Physical Description:

1 online resource

Edition:

1st ed.

Place of Publication:

New York Springer 2012, ©2013

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

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

Notes:

Includes bibliographical references and index

Other Format:

Print version Malyarenko, Anatoliy. Invariant random fields on spaces with a group action.

ISBN:

9783642334061

3642334067

3642334059

9783642334054

OCLC:

820818438

Access Restriction:

Restricted for use by site license