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Published in:
Couplings for Irregular Combinatorial Assemblies Read chapter Read first chapter

2012 | OriginalPaper | Chapter

8. Renormalizations in White Noise Analysis

Author : Takeyuki Hida

Published in: Probability Approximations and Beyond

Publisher: Springer New York

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Abstract

Renormalization has been applied in many places by using a method fitting for each situation. In this report, we are in a position where a white noise \(\{ \dot B(t), t \in R^1 \}\) is taken to be a variable system of random functions \(\varphi (\dot B).\) With this setting, renormalization plays the role that lets \(\varphi (\dot B)\) become a generalized white noise functional, the notion of which has been well established in white noise theory.

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previous chapter Trend Analysis of Extreme Values
next chapter M-Dependence Approximation for Dependent Random Variables
Literature
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Metadata
Title
Renormalizations in White Noise Analysis
Author
Takeyuki Hida
Copyright Year
2012
Publisher
Springer New York
Book
Probability Approximations and Beyond

Print ISBN: 978-1-4614-1965-5

Electronic ISBN: 978-1-4614-1966-2

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-1-4614-1966-2_8