White Noise Calculus and Fock Space is popular PDF and ePub book, written by Nobuaki Obata in 2006-11-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, White Noise Calculus and Fock Space can be Read Online from any device for your convenience.
White Noise Calculus and Fock Space Book PDF Summary
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.
Detail Book of White Noise Calculus and Fock Space PDF
- Author : Nobuaki Obata
- Release : 15 November 2006
- Publisher : Springer
- ISBN : 9783540484110
- Genre : Mathematics
- Total Page : 195 pages
- Language : English
- PDF File Size : 18,5 Mb
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