Indicator Functions with Uniformly Bounded Fourier Sums and Large Gaps in the Spectrum-Reference-Cited by-同舟云学术

Indicator Functions with Uniformly Bounded Fourier Sums and Large Gaps in the Spectrum

Published:2021-04 Issue:2 Volume:27 Page:
ISSN:1069-5869
Container-title:Journal of Fourier Analysis and Applications
language:en
Short-container-title:J Fourier Anal Appl

Author:

Kislyakov S. V.,Perstneva P. S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00041-021-09840-3.pdf

Reference13 articles.

1. Arutyunyan, F.G.: A strengthening of Men’shov’s theorem “on correction”. Mat. Zametki 35(1), 31–41 (1984). English translation in Math. Notes 35:1 (1984), 19-24

2. Arutyunyan, F.G.: The representation of the functions by multiple series. Dokl. AN Arm. SSR 64, 72–76 (1977)

3. Hewitt, E., Ross, K.A.: Abstract Harmonic Analysis I

4. Ivanishvili, P., Kislyakov, S.V.: Correction up to a function with sparse spectrum and uniformly convergent Fourier series. Zap. Nauchn. Sem. POMI 376, 25–47 (2010). English translation in Journal of Mathematical Sciences (New York) 172:2 (2011), 195–206

5. Khrushchev, S.V.: Men‘shov‘s correction theorem and Gaussian processes. Trudy Mat. Inst. Steklov. 155, 151–181 (1981). English translation in Proceedings of the Steklov Institute of Mathematics 155 (1983), 147–175

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