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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1967 Volume 31, Issue 4, Pages 835–854 (Mi im2567)

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.

UDC: 517.5

MSC: 31C05, 28A05

Received: 15.12.1966


 English version:
Mathematics of the USSR-Izvestiya, 1967, 1:4, 807–826

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