O. G. Avsyankin, “The spectra and singular values of multidimensional integral operators with bihomogeneous kernels”, Sibirsk. Mat. Zh., 2008, Volume 49, Number 3,Pages <nobr>490

This article is cited in 2 papers

The spectra and singular values of multidimensional integral operators with bihomogeneous kernels

O. G. Avsyankin

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences

Abstract: We consider the multidimensional integral operators with bihomogeneous kernel invariant under all rotations. For truncated operators of the type we describe the limit behavior of the set of singular values and in the case when these operators are selfadjoint we describe the limit behavior of their spectra.

Keywords: integral operator, truncated operator, spectrum, singular value, $C^*$-algebra.

UDC: 517.9

Received: 12.03.2007
Revised: 30.11.2007