White Noise Distribution Theory

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.

Zusatztext "It is precisely written! up to date! and makes frequent appeal to the research literature."-The Mathematical Gazette Informationen zum Autor Hui-Hsiung Kuo Klappentext White Noise Distribution Theory covers mathematical foundations without requiring advanced knowledge in this area. This instructive text focuses on relevant applications such as integral kernel operators; Fourier transforms! Laplacian operators! with noise integration! Feynman integrals! and positive generalized functions. Zusammenfassung 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. Inhaltsverzeichnis 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

"It is precisely written, up to date, and makes frequent appeal to the research literature."-The Mathematical Gazette

Autorentext
Hui-Hsiung Kuo

Klappentext
White Noise Distribution Theory covers mathematical foundations without requiring advanced knowledge in this area. This instructive text focuses on relevant applications such as integral kernel operators; Fourier transforms, Laplacian operators, with noise integration, Feynman integrals, and positive generalized functions.

Inhalt
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

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