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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 12, Pages 2113–2120 (Mi zvmmf66)  
This article is cited in 11 scientific papers (total in 11 papers)

Some remarks concerning the Fourier transform in the space $L_2(\mathbb R^n)$

V. A. Abilova, F. V. Abilovab, M. K. Kerimovc

a Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia
b Dagestan State Technical University, pr. Kalinina 70, Makhachkala, 367015, Russia
c Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (550 kB) Citations (11)
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Abstract: For the Fourier transform in the space $L_2(\mathbb R^n)$ of square integrable multivariable functions, two practically useful estimates are proved in certain classes of functions characterized by a generalized continuity modulus.
Key words: integral Fourier transform, generalized derivatives, continuity modulus, estimates.
Received: 23.07.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 12, Pages 2146–2153
DOI: https://doi.org/10.1134/S096554250812004X
Bibliographic databases:
Document Type: Article
UDC: 519.651
Language: Russian
Citation: V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Some remarks concerning the Fourier transform in the space $L_2(\mathbb R^n)$”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008), 2113–2120; Comput. Math. Math. Phys., 48:12 (2008), 2146–2153
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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