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Matematicheskie Zametki, 2006, Volume 80, Issue 6, Pages 814–824
DOI: https://doi.org/10.4213/mzm3359 (Mi mzm3359) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids

D. V. Vozhzhov, V. A. Nogin

Rostov State University
Full-text PDF (480 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm3359
Abstract: The method of approximative inverse operators is applied to the inversion of certain potential-type operators with symbols degenerate on hyperboloids or paraboloids. Using this method, the inversion is constructed as the limit of a sequence of convolutions with summable kernels that are expressed in terms of elementary or special functions.
Received: 20.07.2005
Revised: 10.05.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 6, Pages 770–779
DOI: https://doi.org/10.1007/s11006-006-0200-x
Bibliographic databases:
UDC: 517.983
Language: Russian
Citation: D. V. Vozhzhov, V. A. Nogin, “Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids”, Mat. Zametki, 80:6 (2006), 814–824; Math. Notes, 80:6 (2006), 770–779
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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