Distributions, Fourier Transforms And Some Of Their Applications To Physics
Seiten
1991
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0535-5 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-0535-5 (ISBN)
In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues:The Fourier transform is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using Fourier transforms, the Green functions of the important linear differential equations in physics are computed. Linear algebra is reviewed with emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and Bessel functions.
| Erscheint lt. Verlag | 1.4.1991 |
|---|---|
| Reihe/Serie | World Scientific Lecture Notes In Physics ; 37 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 981-02-0535-X / 981020535X |
| ISBN-13 | 978-981-02-0535-5 / 9789810205355 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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