Email this article Fourier transform and quasi-analytic classes of functions of bounded type on tubular domains
- Authors: Shamoyan F.A.1
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Affiliations:
- Bryansk State University
- Issue: Vol 51, No 2 (2017)
- Pages: 157-160
- Section: Brief Communications
- URL: https://journal-vniispk.ru/0016-2663/article/view/234318
- DOI: https://doi.org/10.1007/s10688-017-0179-y
- ID: 234318
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Abstract
A condition for a function of bounded type to belong to the Hardy class H1 in terms of the Fourier transform of the boundary values of this function on Rn is found. Applications of the obtained result to the theories of Hardy classes and of quasi-analytic classes of functions are given.
About the authors
F. A. Shamoyan
Bryansk State University
Author for correspondence.
Email: shamoyanfa@yandex.ru
Russian Federation, Bryansk
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