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Sbornik: Mathematics, 1999, Volume 190, Issue 8, Pages 1173–1193
DOI: https://doi.org/10.1070/sm1999v190n08ABEH000422
(Mi sm422)
 

This article is cited in 4 scientific papers (total in 4 papers)

Paley–Wiener theorems for the matrix Radon transform

E. E. Petrov

Kolomna State Pedagogical Institute
References:
Abstract: Results on the values of the ordinary Radon transform in various function spaces are extended to the case of the matrix Radon transform.
Received: 28.10.1998
Bibliographic databases:
UDC: 517.43
MSC: 44A12
Language: English
Original paper language: Russian
Citation: E. E. Petrov, “Paley–Wiener theorems for the matrix Radon transform”, Sb. Math., 190:8 (1999), 1173–1193
Citation in format AMSBIB
\Bibitem{Pet99}
\by E.~E.~Petrov
\paper Paley--Wiener theorems for the~matrix Radon transform
\jour Sb. Math.
\yr 1999
\vol 190
\issue 8
\pages 1173--1193
\mathnet{http://mi.mathnet.ru/eng/sm422}
\crossref{https://doi.org/10.1070/sm1999v190n08ABEH000422}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1725442}
\zmath{https://zbmath.org/?q=an:0944.44001}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0033240359}
Linking options:
  • https://www.mathnet.ru/eng/sm422
  • https://doi.org/10.1070/sm1999v190n08ABEH000422
  • https://www.mathnet.ru/eng/sm/v190/i8/p103
  • This publication is cited in the following 4 articles:
    1. Ournycheva, E, “Method of mean value operators for Radon transforms in the space of matrices”, International Journal of Mathematics, 19:3 (2008), 245  crossref  mathscinet  zmath  isi  elib  scopus  scopus  scopus
    2. Gonzalez F.B., “Invariant differential operators on matrix motion groups and applications to the matrix Radon transform”, Radon Transforms, Geometry, and Wavelets, Contemporary Mathematics Series, 464, 2008, 107–127  crossref  mathscinet  zmath  isi
    3. Gonzalez, FB, “Invariant differential operators and the range of the matrix Radon transform”, Journal of Functional Analysis, 241:1 (2006), 232  crossref  mathscinet  zmath  isi  scopus  scopus  scopus
    4. Ournycheva E., Rubin B., “An analogue of the Fuglede formula in integral geometry on matrix spaces”, Complex Analysis and Dynamical Systems II, Contemporary Mathematics Series, 382, 2005, 305–320  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:460
    Russian version PDF:236
    English version PDF:24
    References:77
    First page:1
     
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