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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive
Izv. Saratov Univ. Math. Mech. Inform., 2008 Volume 8, Issue 4, Pages 18–33 (Mi isu128)
This article is cited in 1 paper

Mathematics

Operator integration with an involution having a power singularity

V. V. Kornev, A. P. Khromov

Saratov State University, Chair of Differential Equations and Applied Mathematics

Abstract: Spectral properties of the integral operator with an involution of special type in the upper limit are studied and an equiconvergence theorem for its generalized eigenfunction expansions is obtained.

Key words: integral operator, involution, eigenfunction expansions, equiconvergence.

UDC: 517.984

DOI: 10.18500/1816-9791-2008-8-4-18-33



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