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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 78, Issue 2, Pages 397–410
DOI: https://doi.org/10.1070/SM1994v078n02ABEH003476 (Mi sm976) 		 
Recovery of the values of harmonic functions at a point from their values at other points

S. N. Kudryavtsev
English version PDF (648 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1994v078n02ABEH003476
Abstract: The problem of recovering the values of harmonic functions of a certain class at a fixed point from their values at a prescribed collection of points is considered. Relations are obtained for determining best accuracy of recovery and for finding a unique linear method among best recoveries.
Received: 29.08.1991
Bibliographic databases:
UDC: 517.5
MSC: 31B05
Language: English
Original paper language: Russian
Citation: S. N. Kudryavtsev, “Recovery of the values of harmonic functions at a point from their values at other points”, Russian Acad. Sci. Sb. Math., 78:2 (1994), 397–410
Citation in format AMSBIB
\Bibitem{Kud93}
\by S.~N.~Kudryavtsev
\paper Recovery of the~values of harmonic functions at a~point from their values at other points
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 78
\issue 2
\pages 397--410
\mathnet{http://mi.mathnet.ru//eng/sm976}
\crossref{https://doi.org/10.1070/SM1994v078n02ABEH003476}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1225975}
\zmath{https://zbmath.org/?q=an:0815.31001}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PD76700008}
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