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Nobuaki Obata
White Noise Calculus and Fock Space [PDF ebook]

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的封面 Nobuaki Obata: White Noise Calculus and Fock Space (PDF)

White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular, first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis , prior knowledge of white noise calculus is not required.

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语言英语 ● 格式 PDF ● ISBN 9783540484110 ● 出版者 Springer Berlin Heidelberg ● 发布时间 2006 ● 下载 3 时 ● 货币 EUR ● ID 6376960 ● 复制保护 Adobe DRM

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