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Convolution operators on standard CR-manifolds II. Algebras of convolution operators on the Heisenberg group

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Abstract

Various algebras generated by one-sided and two-sided convolution operators with homogeneous kernels and on the Heisenberg group are considered. Isomorphic description of these algebras are given. Their spectra and all irreducible representations are described.

As an application an algebra generated by Toeplitz operators on the Heisenberg group is studied.

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Authors and Affiliations

  1. Department of Mathematics, Odessa State University, Odessa, Ukraine

    Nikolai L. Vasilevski

  2. Departamento de Matemáticas, CINVESTAV del I.P.N., México City, México

    Nikolai L. Vasilevski

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  1. Nikolai L. Vasilevski
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Vasilevski, N.L. Convolution operators on standard CR-manifolds II. Algebras of convolution operators on the Heisenberg group. Integr equ oper theory 19, 327–348 (1994). https://doi.org/10.1007/BF01203669

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  • DOI: https://doi.org/10.1007/BF01203669

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