Gap Theorems

V. V. Volchkov
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V. V. Volchkov: Donetsk National University, Department of Mathematics

Chapter Chapter 3 in Integral Geometry and Convolution Equations, 2003, pp 366-377 from Springer

Abstract: Abstract It is well known that many properties of functions admitting Fourier series with gaps depend only on the behavior of there functions in a vicinity of some point (see, for instance [B7], [E4], [P1], [Z12] and references therein). Here we will study a such phenomena for the sequences of exponential polynomials and some its generalizations.

Keywords: Entire Function; Exponential Type; Integral Geometry; Convolution Equation; Local Theorem (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0023-9_29

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DOI: 10.1007/978-94-010-0023-9_29

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