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On Quasi-Monotone Functions and Sequences

On Quasi-Monotone Functions and Sequences Two types of spaces of sequences as well as their analogs for functions are compared. One of them was inspired by results of A. Beurling in spectral synthesis. The other has appeared in the work of R. P. Boas in trigonometric series. It turns out that natural additional assumptions provide the equivalence of these two types of spaces. Applications are given to the study of behavior of the Fourier transform and integrability of trigonometric series. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

On Quasi-Monotone Functions and Sequences

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Publisher
Springer Journals
Copyright
Copyright © 2001 by Heldermann Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03320995
Publisher site
See Article on Publisher Site

Abstract

Two types of spaces of sequences as well as their analogs for functions are compared. One of them was inspired by results of A. Beurling in spectral synthesis. The other has appeared in the work of R. P. Boas in trigonometric series. It turns out that natural additional assumptions provide the equivalence of these two types of spaces. Applications are given to the study of behavior of the Fourier transform and integrability of trigonometric series.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 7, 2013

References