This article is cited in 10 papers

Harmonic analysis in a multiply-connected domain. I

S. I. Fedorov

Leningrad Institute for Informatics and Automation of USSR AS

Abstract: The purpose of this article is to construct harmonic analysis in a finitely-connected plane domain $\Omega_+$ bounded by $n$ piecewise analytic curves $\Gamma_1,\dots,\Gamma_n$, $\bigcup\limits_{k=1}^n\Gamma_k=\Gamma=\partial\Omega_+$.

UDC: 517.98+517.547

MSC: Primary 32A35; Secondary 30F15, 30F30, 14K20

Received: 18.10.1989

 English version: Mathematics of the USSR-Sbornik, 1991, 70:1, 263–296

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