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Matematicheskie Zametki, 2020, Volume 107, Issue 2, Pages 256–275
DOI: https://doi.org/10.4213/mzm12074 (Mi mzm12074) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A Fourier-Type Transform on the Semiaxis with an Arbitrary Phase

V. È. Petrov

OOO "TVELL," St.  Petersburg, 196006 Russia
Full-text PDF (578 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12074
Abstract: Integral equations on the semiaxis with kernels having the form of a linear combination of the Fourier sine and cosine transforms with arbitrary variable complex coefficients are considered. For the case in which the coefficients depend on only one variable, exact solutions are presented. Various generalizations and applications to integral equations are given.
Keywords: integral equations, integral transforms, Fourier transforms, Riemann problem, Carleman problem.
Received: 28.05.2018
Revised: 01.08.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 2, Pages 296–312
DOI: https://doi.org/10.1134/S0001434620010307
Bibliographic databases:
Document Type: Article
UDC: 517.4
Language: Russian
Citation: V. È. Petrov, “A Fourier-Type Transform on the Semiaxis with an Arbitrary Phase”, Mat. Zametki, 107:2 (2020), 256–275; Math. Notes, 107:2 (2020), 296–312
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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