Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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{http://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}
Linking options:
  • https://www.mathnet.ru/eng/znsl6192
  • https://www.mathnet.ru/eng/znsl/v438/p203
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:162
    Full-text PDF :53
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024