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Integral Operators with Shifts on Homogeneous Groups

In: Factorization, Singular Operators and Related Problems

Author

Listed:
  • Vladimir S. Rabinovich

    (ESIME-Zacatenco, Instituto Politechnico National)

  • Steffen Roch

    (Technische Universität Darmstadt, Fachbereich Mathematik)

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.

Suggested Citation

  • Vladimir S. Rabinovich & Steffen Roch, 2003. "Integral Operators with Shifts on Homogeneous Groups," Springer Books, in: Stefan Samko & Amarino Lebre & António F. dos Santos (ed.), Factorization, Singular Operators and Related Problems, pages 255-271, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-0227-0_17
    DOI: 10.1007/978-94-017-0227-0_17
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