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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1988 Volume 173, Pages 30–41 (Mi znsl4494)

This article is cited in 6 papers

To the Kac problem of a reconstruction of the area shape by the spectrum of the Dirichlet problem

M. I. Belishev


Abstract: The inverse problem of M. Kac is considered. The procedure of a reconstruction of a area shape is described for the wide class of convex areas. This result can be generalized on some classes of nonconvex areas.

UDC: 517.946


 English version:
Journal of Soviet Mathematics, 1991, 55:3, 1663–1672

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