Title Statements
- Full title :Introduction to Hida distributions.
Edition Statements
- Publication Date:2012.
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:Singapore
- Language:eng
- Publication Date:2012.
The Physical Object
- Description:253 blz. ; : .. cm.
Edition Identifiers
- ISBN:9812836888, 9789812836885
- oclc:ocn840459198
Table of Contents
Machine generated contents note: 1.Preliminaries and Discrete Parameter White Noise -- 1.1.Preliminaries -- 1.2.Discrete parameter white noise -- 1.3.Invariance of the measure (So(B -- 1.4.Harmonic analysis arising from O(E) on the space of functional of Y = {Y(n)} -- 1.5.Quadratic forms -- 1.6.Differential operators and related operators -- 1.7.Probability distributions and Bochner-Minlos theorem -- 2.Continuous Parameter White Noise -- 2.1.Gaussian system -- 2.2.Continuous parameter white noise -- 2.3.Characteristic functional and Bochner-Minlos theorem -- 2.4.Passage from discrete to continuous -- 2.5.Stationary generalized stochastic processes -- 3.White Noise Functional -- 3.1.In line with standard analysis -- 3.2.White noise functionals -- 3.3.Infinite dimensional spaces spanned by generalized linear functionals of white noise -- 3.4.Some of the details of quadratic functionals of white noise -- 3.5.The T-transform and the S-transform -- 3.6.White noise B(t) related to (Se(B-function -- 3.7.Infinite dimensional space generated by Hermite polynomials in B(t)'s of higher degree -- 3.8.Generalized white noise functionals -- 3.9.Approximation to Hida distributions -- 3.10.Renorm…
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