Integral Operators with Shifts on Homogeneous Groups

Vladimir S. Rabinovich () and Steffen Roch ()
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Vladimir S. Rabinovich: ESIME-Zacatenco, Instituto Politechnico National
Steffen Roch: Technische Universität Darmstadt, Fachbereich Mathematik

A chapter in Factorization, Singular Operators and Related Problems, 2003, pp 255-271 from Springer

Abstract: Abstract We study Fredholm properties of integral operators with shifts on homogeneous groups. This investigation is based on the limit operators method which allows us to reduce the problem of Fredholmness of convolution operators with variable coefficients and with variable shifts to the problem of invertibility of convolution operators with constant coefficients and constant shifts. For the invertibility of these operators, methods of harmonic analysis on noncommutative groups are available.

Keywords: Integral equations; slowly oscillating shifts; Fredholm properties (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0227-0_17

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DOI: 10.1007/978-94-017-0227-0_17

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