White Noise Distribution Theory
eBook - PDF

White Noise Distribution Theory

  1. 400 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

White Noise Distribution Theory

About this book

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.

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Yes, you can access White Noise Distribution Theory by Hui-Hsiung Kuo in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
CRC Press
Year
2018
Print ISBN
9780367848293
eBook ISBN
9781351404303
Edition
1
Topic
Mathematics
Subtopic
Probability & Statistics
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. 1: Introduction to White Noise
  7. 2: Background
  8. 3: White Noise as an Infinite Dimensional Calculus
  9. 4: Constructions of Test and Generalized Functions
  10. 5: The S-transform
  11. 6: Continuous Versions and Analytic Extensions
  12. 7: Delta Functions
  13. 8: Characterization Theorems
  14. 9: Differential Operators
  15. 10: Integral Kernel Operators
  16. 11: Fourier Transforms
  17. 12: Laplacian Operators
  18. 13: White Noise Integration
  19. 14: Feynman Integrals
  20. 15: Positive Generalized Functions
  21. Appendix A: Notes and Comments
  22. Appendix B: Miscellaneous Formulas
  23. Bibliography
  24. List of Symbols
  25. Index