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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 4, Pages 76–78
DOI: https://doi.org/10.4213/faa3212 (Mi faa3212) 		 
This article is cited in 2 scientific papers (total in 3 papers)

Brief communications

Inequalities for Positive-Definite Functions

E. A. Gorin
Full-text PDF (84 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa3212
Abstract: Generalizations of the classical inequality $|f(x)-f(y)|^2\le2f(0)\{f(0)-\operatorname{Re}f(x-y)\}$ for a positive-definite complex-valued function $f$ on an Abelian group are obtained.
Keywords: positive-definite function on an Abelian group, Bochner's theorem.
Received: 27.07.2015
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 4, Pages 301–303
DOI: https://doi.org/10.1007/s10688-015-0118-8
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: E. A. Gorin, “Inequalities for Positive-Definite Functions”, Funktsional. Anal. i Prilozhen., 49:4 (2015), 76–78; Funct. Anal. Appl., 49:4 (2015), 301–303
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa/v49/i4/p76
    • This publication is cited in the following 3 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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    Full-text PDF :189
    References:64
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