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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 4, Pages 66–72
DOI: https://doi.org/10.26907/0021-3446-2019-4-66-72 (Mi ivm9455) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On a problem of restriction of Fourier transform on a hypersurface

A. R. Safarov

Samarkand State University, 15 Universitetskii blvd., Samarkand, 140104 Republic of Uzbekistan
Full-text PDF (349 kB) Citations (7)
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DOI: https://doi.org/10.26907/0021-3446-2019-4-66-72
Abstract: This paper is devoted to the restriction problem of Fourier transform to model hypersurfaces. We show that the Littlewood–Paley methods allow to obtain sharp convervence estimate for the summability exponent. These estimates improve results by A. Greenleaf for model hypersurfaces.
Keywords: Fourier transform, summation functions, restriction problem.
Funding agency Grant number
Агентство по науке и технологиям Республики Узбекистан ОТ-Ф4-69
Received: 26.12.2017
Revised: 05.11.2018
Accepted: 19.12.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 4, Pages 57–63
DOI: https://doi.org/10.3103/S1066369X19040066
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. R. Safarov, “On a problem of restriction of Fourier transform on a hypersurface”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 4, 66–72; Russian Math. (Iz. VUZ), 63:4 (2019), 57–63
Citation in format AMSBIB
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\paper On a problem of restriction of Fourier transform on a hypersurface
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 4
\pages 66--72
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\jour Russian Math. (Iz. VUZ)
\yr 2019
\vol 63
\issue 4
\pages 57--63
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :93
    References:21
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