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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 438, Pages 203–224 (Mi znsl6192)  
This article is cited in 2 scientific papers (total in 2 papers)

Generalized trigonometric integral transformations

V. E. Petrov

St. Petersburg, Russia
Full-text PDF (236 kB) Citations (2)
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Abstract: We study some generalizations of the Fourier and Hartley transformations on $\mathbb R$ and $\mathbb R^n$. These transformations involve functional coefficients. The Parceval identities, convolution formulas, conditions of selfadjointness and unitary property for new transformations are obtained.
Key words and phrases: integral transformations, integral equations, convolution operators.
Received: 10.11.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 1, Pages 135–149
DOI: https://doi.org/10.1007/s10958-017-3400-x
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. E. Petrov, “Generalized trigonometric integral transformations”, Mathematical problems in the theory of wave propagation. Part 45, Zap. Nauchn. Sem. POMI, 438, POMI, St. Petersburg, 2015, 203–224; J. Math. Sci. (N. Y.), 224:1 (2017), 135–149
Citation in format AMSBIB
\Bibitem{Pet15}
\by V.~E.~Petrov
\paper Generalized trigonometric integral transformations
\inbook Mathematical problems in the theory of wave propagation. Part~45
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 438
\pages 203--224
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6192}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3501075}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 1
\pages 135--149
\crossref{https://doi.org/10.1007/s10958-017-3400-x}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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