White Noise Distribution Theory

Hui-Hsiung Kuo (Louisiana State University), Richard Durrett, Mark Pinsky (Northwestern University, Evanston, Illinois, USA)

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English

CRC Press
30 June 2020

Environmental science, engineering & technology

Series: Probability and Stochastics Series

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 requiring advanced knowledge in this area. This instructive text specifically focuses on relevant application topics such as integral kernel operators, Fourier transforms, Laplacian operators, white noise integration, Feynman integrals, and positive generalized functions. Extremely well-written by one of the field's leading researchers, White Noise Distribution Theory is destined to become the definitive introductory resource on this challenging topic.

By: Hui-Hsiung Kuo (Louisiana State University)
Series edited by: Richard Durrett, Mark Pinsky (Northwestern University, Evanston, Illinois, USA)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 553g
ISBN: 9780367579616
ISBN 10: 0367579618
Series: Probability and Stochastics Series
Pages: 400
Publication Date: 30 June 2020
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Introduction to White Noise. Background. White Noise as an Infinite Dimensional Calculus. Constructions of Test and Generalized Functions. The S-Transform. Continuous Versions and Analytic Extensions. Delta Functions. Characterization Theorems. Differential Operators. Integral Kernel Operators. Fourier Transforms. Laplacian Operators. White Noise Integration. Feynman Integrals. Positive Generalized Functions. Appendix A: Notes and Comments. Appendix B: Miscellaneous Formulas. NTI/Sales Copy

Hui-Hsiung Kuo