Distributions, Fourier Transforms and Some of Their Applications to Physics.
Language: English
Published by World Scientific, Singapore, 1991
- Hardcover
- Used
Seller: Antiquariat Renner OHG, Albstadt, GermanyAntiquariat Renner OHG
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Condition: Used - Fine
£ 17.17
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Singapore, World Scienfific (1991). Some figs. X, 167 p. Hardbound with dust jacket. World Scientific Lecture Notes in Physics, 37.- With exercises.- In very good condition.
Seller Inventory # 97248
- Title
- Distributions, Fourier Transforms and Some of Their Applications to Physics.
- Author
- SCHÜCKER, Thomas
- Publisher
- World Scientific, Singapore
- Publication year
- 1991
- Condition
- Sehr gut
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 981020535X
- ISBN 13
- 9789810205355
In this book, distributions are introduced via sequences of functions. This approach due to Temple has two virtues:
- It only presupposes standard calculus.
- It allows to justify manipulations necessary in physical applications.
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.
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Antiquariat Renner OHG
Albstadt, Germany
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