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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 1, Pages 33–46
DOI: https://doi.org/10.4213/faa3093 (Mi faa3093) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Fourier Transform of the Characteristic Functions of Domains with $C^1$ Boundary

V. V. Lebedev

Moscow State Institute of Electronics and Mathematics — Higher School of Economics
Full-text PDF (220 kB) Citations (7)
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DOI: https://doi.org/10.4213/faa3093
Abstract: We consider domains $D\subseteq\mathbb R^n$ with $C^1$ boundary and study the following question: For what domains $D$ does the Fourier transform $\widehat{1_D}$ of the characteristic function $1_D$ belong to $L^p(\mathbb R^n)$?
Keywords: harmonic analysis, domain with smooth boundary, Fourier transform of a characteristic function.
Received: 20.05.2011
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 1, Pages 27–37
DOI: https://doi.org/10.1007/s10688-013-0004-1
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: V. V. Lebedev, “On the Fourier Transform of the Characteristic Functions of Domains with $C^1$ Boundary”, Funktsional. Anal. i Prilozhen., 47:1 (2013), 33–46; Funct. Anal. Appl., 47:1 (2013), 27–37
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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