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White Noise Distribution Theory Book

White Noise Distribution Theory
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  • White Noise Distribution Theory
  • Written by author Hui-Hsiung Kuo
  • Published by Taylor & Francis, Inc., April 1996
  • 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 focu
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Book Categories

Authors

1Introduction to White Noise1
2Background7
3White Noise as an Infinite Dimensional Calculus15
4Constructions of Test and Generalized Functions23
5The S-transform31
6Continuous Versions and Analytic Extensions45
7Delta Functions61
8Characterization Theorems77
9Differential Operators103
10Integral Kernel Operators121
11Fourier Transforms147
12Laplacian Operators189
13White Noise Integration239
14Feynman Integrals305
15Positive Generalized Functions317
Appendix A: Notes and Comments335
Appendix B: Miscellaneous Formulas353
Bibliography359
List of Symbols369
Index373


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