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Connection between two-sided and one-sided convolution type operators on non-commutative groups

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Abstract

The subject of this paper is so-called two-sided convolution type operators on step two nilpotent Lie groups and our object is the description some new approaches to these convolutions. The main result is a direct procedure allowing to transform two-sided convolutions to usual convolutions on some new group. Two examples are solved to illustrate main paper results.

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Authors and Affiliations

  1. Departamento de Matematicás, Cinvestav del I.P.N., Apartado postal 14-740, 07000, México, D.F. México

    Vladimir V. Kisil

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  1. Vladimir V. Kisil
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This work was partially supported by grant ofFoundation PRO MATHEMATICA (French Mathematical Society).

On leave from the Odessa State University.

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Kisil, V.V. Connection between two-sided and one-sided convolution type operators on non-commutative groups. Integr equ oper theory 22, 317–332 (1995). https://doi.org/10.1007/BF01378780

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  • DOI: https://doi.org/10.1007/BF01378780

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