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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1995 Volume 221, Pages 145–166 (Mi znsl4301)

This article is cited in 1 paper

The Bergman kernel and the Green function

V. A. Malyshev

Rybinsk State Aviation Technological Academy

Abstract: Definition of the Bergman space for an arbitrary operator is given. Sufficient conditions for the existence of the Bergman kernel for this space are obtained. For an elliptic operator, the Bergman kernel is represented via the Green function. Bibliography: 12 titles.

UDC: 519.632

Received: 10.01.1995


 English version:
Journal of Mathematical Sciences (New York), 1997, 87:2, 3366–3380

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