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Renormalizations in White Noise Analysis

  • Takeyuki HidaEmail author
Conference paper
Part of the Lecture Notes in Statistics book series (LNS, volume 205)

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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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Nagoya University and Meijo UniversityNagoyaJapan

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