A M Sedletskii

Fourier Transforms and Approximations (eBook, PDF)

• Format: PDF

Produktbeschreibung

Three classes of Fourier transforms are presented: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support and Fourier transforms of rapidly decreasing functions (on whole line). The focus is on the behaviour of Fourier transforms in the region of analyticity and the distribution of their zeros. Applications of results are presented: approximation by exponentials on the finite interval; behavior of the nonharmonic Fourier series; MA1/4ntz-Szasz's problem of approximation by powers on unit interval; approximation by weighted exponentials on whole line.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 272
• Erscheinungstermin: 20. September 2000
• Englisch
• ISBN-13: 9781482296938
• Artikelnr.: 57530832

Autorenporträt

A M Sedletskii

Inhaltsangabe

1. Auxiliary Informations from the Analysis 2. Distribution of Zeros of
Finite Fourier Transforms 3. Estimates of Fourier and Laplace Transforms
and Their Applications 4. Stability of Classes of Finite Fourier Transforms
5. Laplace Transforms in the Weighted Spaces Lp and Its Applications 6.
Nonharmonic Fourier Series 7. Muntz-Szasz's Problem 8. Fourier Transforms
of Rapidly Decreasing Functions 9. Approximate Properties of Systems of
Exponents in the Lebesgue's Spaces on All Line