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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1972, Volume 12, Issue 4, Pages 349–354 (Mi mz9892)

Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region

L. E. Dunduchenko

Abstract: We construct an expression which generalizes the familiar Schwartz expression to the case of a denumerable-connected circular $\delta$-region for which the centers of the boundary circles lie on a finite number of straight lines of the same bundle. Using this expression we can construct a regular and single-valued function of a sufficiently general form inside the region under consideration, from the values of its real part on the boundary of the region.

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English version:
Mathematical Notes, 1972, 12:4, 641–644

Bibliographic databases:

UDC: 517.5

Citation: L. E. Dunduchenko, “Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region”, Mat. Zametki, 12:4 (1972), 349–354; Math. Notes, 12:4 (1972), 641–644

Citation in format AMSBIB
\Bibitem{Dun72} \by L.~E.~Dunduchenko \paper Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region \jour Mat. Zametki \yr 1972 \vol 12 \issue 4 \pages 349--354 \mathnet{http://mi.mathnet.ru/mz9892} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=320333} \zmath{https://zbmath.org/?q=an:0249.30036} \transl \jour Math. Notes \yr 1972 \vol 12 \issue 4 \pages 641--644 \crossref{https://doi.org/10.1007/BF01093666}