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Poisson Summation Formula
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High Quality Content by WIKIPEDIA articles! In mathematics, the Poisson summation formula is an equation relating the Fourier series coefficients of the periodic summation of a function to values of the function's continuous Fourier transform. Consequently, the periodic summation of a function is completely defined by discrete samples of the original function's Fourier transform. The Poisson summation formula was discovered by Siméon Denis Poisson and is sometimes called Poisson resummation. In partial differential equations, the Poisson summation formula provides a rigorous justification for the fundamental solution of the heat equation with absorbing rectangular boundary by the method of images. Here the heat kernel on R2 is known, and that of a rectangle is determined by taking the periodization. The Poisson summation formula similarly provides a connection between Fourier analysis on Euclidean spaces and on the tori of the corresponding dimensions (Grafakos 2004).
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130336738
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H9mm x B220mm x T150mm
- Jahr 2010
- EAN 9786130336738
- Format Fachbuch
- ISBN 978-613-0-33673-8
- Titel Poisson Summation Formula
- Untertitel Mathematics, Fourier Series, Function, Fourier Transform, Siméon Denis Poisson, Lp Space, Uniform Continuity, Pointwise Convergence
- Gewicht 245g
- Herausgeber Betascript Publishers
- Anzahl Seiten 176
- Genre Mathematik
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