Representability of a Function as the Fourier Transform of a Measure

Roald M. Trigub and Eduard S. Bellinsky
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Roald M. Trigub: Donetsk National University
Eduard S. Bellinsky: University of West Indies

Chapter Chapter 6 in Fourier Analysis and Approximation of Functions, 2004, pp 255-308 from Springer

Abstract: Abstract In this chapter we set forth classical theorems of N. Wiener (in particular, Tauberian theorem), S. Bochner, S. N. Bernstein, S. Bochner and A. Ya. Khintchin, I. J. Schoenberg, and A. Beurling.

Keywords: FOURIER Transform; Monotone Function; Radial Function; Positive Definiteness; Absolute Convergence (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-2876-2_6

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DOI: 10.1007/978-1-4020-2876-2_6

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