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Erschienen in:
2002 | OriginalPaper | Buchkapitel
Fourier Transforms of Stable Signals
verfasst von : Pierre Brémaud
Erschienen in: Mathematical Principles of Signal Processing
Verlag: Springer New York
Enthalten in: Professional Book Archive
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This first chapter gives the definition and elementary properties of the Fourier transform of integrable functions, which constitute the specific calculus mentioned in the introduction. Besides linearity, the toolbox of this calculus contains the differentiation rule and the convolution—multiplication rule. The general problem of recovering a function from its Fourier transform then receives a partial answer that will be completed by the results on pointwise convergence of Chapter A3.