Stability condition and riesz bounds for exponential splines Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2023, Volume: 20, Number: 2, Pages: 1430-1442 Pages count : 13 DOI: 10.33048/semi.2023.20.088 | ||
| Tags | E-spline, Riesz basis, Riesz bounds, functional series | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
Stability of the family of integer translations of expo nential spline Um,p for arbitrary m, p is proven; Riesz bounds are determined. The method presented in the paper allows to calculate Riesz bounds for the convolution of a B-spline of an arbitrary order and a function with an appropriated Fourier transform.
Cite:
Mishchenko E.V.
Stability condition and riesz bounds for exponential splines
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N2. P.1430-1442. DOI: 10.33048/semi.2023.20.088 WOS Scopus РИНЦ
Stability condition and riesz bounds for exponential splines
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023. V.20. N2. P.1430-1442. DOI: 10.33048/semi.2023.20.088 WOS Scopus РИНЦ
Dates:
| Submitted: | Jan 16, 2023 |
| Published print: | Dec 12, 2023 |
| Published online: | Dec 12, 2023 |
Identifiers:
| Web of science: | WOS:001164415800010 |
| Scopus: | 2-s2.0-85186907526 |
| Elibrary: | 82134674 |
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