Functional equations for exponential polynomials

  • Żywilla FechnerEmail author
  • László Székelyhidi
Open Access


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.


Exponential polynomials Levi-Civita equation Hypergroups 

Mathematics Subject Classification

39B99 43A62 20N20 



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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Copyright information

© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Institute of MathematicsŁódź University of TechnologyŁódźPoland
  2. 2.Department of Mathematics and Statistical SciencesBIUSTPalapyeBotswana
  3. 3.Institute of MathematicsUniversity of DebrecenDebrecenHungary

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