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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1988 Volume 136(178), Number 2(6), Pages 178–186 (Mi sm1735)

This article is cited in 8 papers

On the removal singularities of integrable CR functions

A. M. Kytmanov


Abstract: This article is concerned with the problem of the removal of singularities of CR functions $f\in L^1(\Gamma)$, where $\Gamma$ is a smooth generating manifold in a domain $\Omega$ in $\mathbf C^n$. Under appropriate conditions on the Levi form of this manifold an analog of the Riemann removable singularities theorem for holomorphic functions is established.
Bibliography: 12 titles.

UDC: 517.55

MSC: Primary 32D20; Secondary 32F25

Received: 20.04.1986


 English version:
Mathematics of the USSR-Sbornik, 1989, 64:1, 177–185

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