White Noise Distribution Theory

ISBN-13: 9780367579616 / Angielski / Miękka / 2020 / 400 str.

Hui-Hsiung Kuo

Opis

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. 

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