[图书][B] White noise distribution theory

HH Kuo - 2018 - taylorfrancis.com
Learn the basics of white noise theory with White Noise Distribution Theory. This book
covers the mathematical foundation and key applications of white noise theory without …

[图书][B] Path integral approach to quantum physics: an introduction

G Roepstorff - 2012 - books.google.com
This book has been written twice. After having written and published it in German in 1990, I
started allover again and rewrote the whole story for an English speaking audience. During …

A characterization of Hida distributions

J Potthoff, L Streit - Journal of Functional Analysis, 1991 - Elsevier
A Characterization of Hida Distributions Page 1 JOURNAL OF FUNCTIONAL ANALYSIS 101,
212-229 (1991) A Characterization of Hida Distributions J. POTTHOFF BiBoS. CJnir~ersil& …

Spaces of white noise distributions: Constructions, Descriptions, Applications. I

YG Kondrat'ev, L Streit - Reports on mathematical physics, 1993 - Elsevier
The paper introduces a scale of spaces of test functions and associated distributions in
White Noise Analysis. Special cases of this scale include Hida and Meyer–Yan triples. We …

[PDF][PDF] Generalized functionals in Gaussian spaces-the characterization theorem revisited

YG Kondratiev, P Leukert, J Potthoff, L Streit… - arXiv preprint math …, 2003 - arxiv.org
arXiv:math/0303054v1 [math.FA] 5 Mar 2003 Page 1 arXiv:math/0303054v1 [math.FA] 5
Mar 2003 February 1994 Generalized Functionals in Gaussian Spaces – The …

Wick calculus in Gaussian analysis

YG Kondratiev, P Leukert, L Streit - Acta Applicandae Mathematica, 1996 - Springer
Wick calculus in Gaussian analysis Page 1 Acta Applicandae Mathematicae 44: 269-294, 1996.
@ 1996 Kluwer Academic Publishers. Printed in the Netherlands. 269 Wick Calculus in …

White noise analysis: some applications in complex systems, biophysics and quantum mechanics

CC Bernido, MV CARPIO-BERNIDO - International Journal of …, 2012 - World Scientific
The white noise calculus originated by T. Hida is presented as a powerful tool in
investigating physical and social systems. Combined with Feynman's sum-over-all histories …

[图书][B] Mathematical Feynman path integrals and their applications

S Mazzucchi - 2009 - World Scientific
One of the most challenging problems of modern physics is the connection between the
macroscopic and the microscopic world, that is between classical and quantum mechanics …

An analytic characterization of symbols of operators on white noise functionals

N Obata - Journal of the Mathematical Society of Japan, 1993 - jstage.jst.go.jp
In the recent years Hida's white noise calculus [8] has been established as a Schwartz type
distribution theory on Gaussian space by many authors, for instance, Kubo and Takenaka …

A unified approach to infinite-dimensional integration

S Albeverio, S Mazzucchi - Reviews in Mathematical Physics, 2016 - World Scientific
An approach to infinite-dimensional integration which unifies the case of oscillatory integrals
and the case of probabilistic type integrals is presented. It provides a truly infinite …