Fourier Multipliers

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 7 in Fourier Analysis and Approximation of Functions, 2004, pp 309-348 from Springer

Abstract: Abstract In this chapter we study translation invariant linear operators representable as the convolution of a function and a measure (see, for example, Stein and Weiss [M-1971], Ch. I), more exactly operators generated by a numerical sequence {λk} as $$ f \sim \sum {{c_k}(f){e_k} \mapsto \sum {{\lambda _k}{c_k}(f){e_k} \sim \Delta f} } $$

Keywords: Fourier Series; Hardy Space; Comparison Principle; FOURIER Multiplier; Summability Method (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_7

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DOI: 10.1007/978-1-4020-2876-2_7

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