White Noise Distribution Theory

ISBN-13: 9780849380778 / Angielski / Twarda / 1996 / 400 str.

Hui-Hsiung Kuo;Kuo; Kuo Kuo

Opis

Covers the mathematical foundation and key applications of white noise theory. This book focuses on topics such as integral kernel operators, Fourier transforms, Laplacian operators, white noise integration, Feynman integrals, and positive generalized functions.

Recenzje

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

Spis treści

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

O autorze

Hui-Hsiung Kuo