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.
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To Professor G. S. Litvinchuk on the occasion of his 70th birthday
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Rabinovich, V.S., Roch, S. (2003). Integral Operators with Shifts on Homogeneous Groups. In: Samko, S., Lebre, A., dos Santos, A.F. (eds) Factorization, Singular Operators and Related Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0227-0_17
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DOI: https://doi.org/10.1007/978-94-017-0227-0_17
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