MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Some estimates of the remainder in the expressions for the eigenvalue asymptotics of some singular integral operators
Milutin Dostanić

Abstract

Some estimates are given for the remainder in the expressions for eigenvalue asymptotics of operators of the type of Riesz' potential and logarithmic potential. As a corollary an estimate is obtained of the spectral asymptotics of an operator playing a role in the thin airplane wing theory. The method is elementary and it is based on the properties of the singular values of compact operators.

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Keywords: Operator with Riesz' potential, operator with logarithimic potential, eigenvalue asymptotics.

MSC: 47B10

Pages:  129--137     

Volume  49 ,  Issue  2 ,  1997