
- 672 pages
- English
- PDF
- Available on iOS & Android
Handbook of Function and Generalized Function Transformations
About this book
Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems.
The author has compiled the most important and widely used of these function transforms in applied mathematics and electrical engineering. In addition to classical transforms, newer transforms such as wavelets, Zak, and Radon are included.
The book is neither a table of transforms nor a textbook, but it is a source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations.
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Information
Table of contents
- Cover
- Half Title
- Series Page
- Title Page
- Copyright Page
- Contents
- List of Figures
- Preface
- Dedication
- Chapter 1: Preliminaries
- Chapter 2: Special Functions
- Chapter 3: Generalized Functions
- Chapter 4: Function Transformations
- Chapter 5: The Laplace Transform
- Chapter 6: The Two-Sided Laplace Transform
- Chapter 7: The Borel Transform
- Chapter 8: The Stieltjes Transform
- Chapter 9: The Lambert Transform
- Chapter 10: The Mellin Transform
- Chapter 11: Finite Mellin-Type Transforms
- Chapter 12: The Fourier Transform
- Chapter 13: The Hartley Transform
- Chapter 14: The Hilbert Transform
- Chapter 15: The Boas Transform
- Chapter 16: The Mittag-Leffler Transform
- Chapter 17: The Convolution Transform
- Chapter 18: The Weierstrass Transform
- Chapter 19: The Abel Transform
- Chapter 20: The Riemann-Liouville and Weyl Fractional Integrals
- Chapter 21: The Hankel and Hankel-Type Transforms
- Chapter 22: The Hardy Transform
- Chapter 23: The K (Meijer) Transform
- Chapter 24: The Kontorovich-Lebedev Transform
- Chapter 25: The Mehler-Fock Transform
- Chapter 26: The Sturm-Liouville-Type Transforms
- Chapter 27: Miscellaneous Transforms
- Chapter 28: The Bargmann Transform
- Chapter 29: The Zak Transform
- Chapter 30: The Gabor Transform
- Chapter 31: The Ambiguity Transformation and Wigner Distribution
- Chapter 32: The Wavelet Transform
- Chapter 33: The Radon Transform
- Chapter 34: Sequence Transformations
- Appendices
- References
- Index