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Izvestiya: Mathematics, 1999, Volume 63, Issue 3, Pages 481–493
DOI: https://doi.org/10.1070/im1999v063n03ABEH000248 (Mi im248) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Injectivity sets for the Radon transform over a sphere

V. V. Volchkov

Donetsk National University
English version PDF (380 kB) Citations (14)
References:
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DOI: https://doi.org/10.1070/im1999v063n03ABEH000248
Abstract: This paper contains a solution of the problem of describing the kernel of the Radon transform over a sphere with respect to sets with spherical symmetry. This solution enabled us, in particular, to characterize all injectivity sets of this type. The technique used in the proofs enabled us to obtain other exact results concerning spherical means, namely, new two-radii theorems and a uniqueness theorem.
Received: 01.10.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1999, Volume 63, Issue 3, Pages 63–76
DOI: https://doi.org/10.4213/im248
Bibliographic databases:
MSC: 44A12, 43A85, 42A38, 42B10, 43A90, 47G10, 45P05, 31A05
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, “Injectivity sets for the Radon transform over a sphere”, Izv. RAN. Ser. Mat., 63:3 (1999), 63–76; Izv. Math., 63:3 (1999), 481–493
Citation in format AMSBIB
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  • https://doi.org/10.1070/im1999v063n03ABEH000248
  • https://www.mathnet.ru/eng/im/v63/i3/p63
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:553
    Russian version PDF:218
    English version PDF:44
    References:113
    First page:1
     
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