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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 2010 Volume 201, Number 8, Pages 31–44 (Mi sm7559)
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Spectral asymptotics and the regularized trace of a singular integral operator

M. R. Dostanic

University of Belgrade

Abstract: We give more precise asymptotic behaviour of the spectrum of a singular integro-differential operator and find the regularized trace of its inverse operator.
Bibliography: 12 titles.

Keywords: Prandtl's equation, singular values, eigenvalues, regularized trace.

UDC: 517.968

MSC: Primary 45C05, 45J05; Secondary 35Q72

Received: 17.03.2009

DOI: 10.4213/sm7559


 English version: Sbornik: Mathematics, 2010, 201:8, 1121–1134

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© Steklov Math. Inst. of RAS, 2024