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Functional equations for exponential polynomials

Aequationes mathematicae volume 93, pages 535–545 (2019)Cite this article

Abstract

The aim of the present paper is to describe some properties of functions with finite dimensional difference spaces by means of spectral analysis and spectral synthesis. We are going to apply these results to a version of a Levi-Civita functional equation, which has been recently studied by J. M. Almira and E. Shulman.

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Acknowledgements

László Székelyhidi was partly supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. K111651, and by BIUST, Botswana. Żywilla Fechner was supported by the National Science Centre, Poland, Grant No. DEC-2017/01/X/ST1/00916.

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Authors and Affiliations

  1. Institute of Mathematics, Łódź University of Technology, ul. Wólczańska 215, 90-924, Łódź, Poland

    Żywilla Fechner

  2. Department of Mathematics and Statistical Sciences, BIUST, Palapye, Botswana

    László Székelyhidi

  3. Institute of Mathematics, University of Debrecen, Egyetem tér 1, 4032, Debrecen, Hungary

    László Székelyhidi

Authors
  1. Żywilla Fechner
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  2. László Székelyhidi
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Correspondence to Żywilla Fechner.

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Fechner, Ż., Székelyhidi, L. Functional equations for exponential polynomials. Aequat. Math. 93, 535–545 (2019). https://doi.org/10.1007/s00010-018-0593-0

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  • DOI: https://doi.org/10.1007/s00010-018-0593-0

Mathematics Subject Classification

  • 39B99
  • 43A62
  • 20N20

Keywords

  • Exponential polynomials
  • Levi-Civita equation
  • Hypergroups