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How to recover a continuous function on a hermitian symmetric simple lie group using finite-dimensional representations and pseudorepresentations

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To Professor Hari M. Srivastava with permanent admiration

Abstract

We show the possibility to reconstruct a given continuous function on a simple Hermitian symmetric Lie group by using a partition of unity and continuous finite-dimensional representations and pseudorepresentations of the group in question.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    A. I. Shtern

  2. Institute of Systems Research (VNIISI), Russian Academy of Sciences, Moscow, 117312, Russia

    A. I. Shtern

Authors
  1. A. I. Shtern
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Correspondence to A. I. Shtern.

Additional information

The research was partially supported by the Russian Foundation for Basic Research under grant no. 11-01-00057-a.

As usual, a group is said to have sufficiently many representations of some type if the intersection of kernels of the representations in question is trivial and insufficiently many otherwise.

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Shtern, A.I. How to recover a continuous function on a hermitian symmetric simple lie group using finite-dimensional representations and pseudorepresentations. Russ. J. Math. Phys. 20, 102–104 (2013). https://doi.org/10.1134/S1061920813010081

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  • DOI: https://doi.org/10.1134/S1061920813010081

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