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Harmonic functions representable by Green's integrals. II
E. D. Solomentsev
Abstract:
This paper is a direct continuation of previous work by the author $( ^1)$. In § § 4 and 5 are contained the principal results: descriptions of the characteristic properties of those harmonic functions that are representable as Green's–Stieltjes and Green's–Lebesgue integrals in regions of a general type.
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Mathematics of the USSR-Izvestiya, 1967, 1:4, 807–826
Bibliographic databases:
UDC:
517.5
MSC: 31C05, 28A05 Received: 15.12.1966
Citation:
E. D. Solomentsev, “Harmonic functions representable by Green's integrals. II”, Izv. Akad. Nauk SSSR Ser. Mat., 31:4 (1967), 835–854; Math. USSR-Izv., 1:4 (1967), 807–826
Citation in format AMSBIB
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\by E.~D.~Solomentsev
\paper Harmonic functions representable by Green's integrals.~II
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 4
\pages 835--854
\mathnet{http://mi.mathnet.ru/izv2567}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=224854}
\zmath{https://zbmath.org/?q=an:0162.16502|0172.15003}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 4
\pages 807--826
\crossref{https://doi.org/10.1070/IM1967v001n04ABEH000590}
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