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Sine functions on hypergroups

Archiv der Mathematik volume 106, pages 371–382 (2016)Cite this article

Abstract

In a recent paper, we introduced sine functions on commutative hypergroups. These functions are natural generalizations of those functions on groups which are products of additive and multiplicative homomorphisms. In this paper, we describe sine functions on different types of hypergroups, including polynomial hypergroups, Sturm–Liouville hypergroups, etc. A non-commutative hypergroup is also considered.

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References

  1. Bloom W. R., Heyer H.: Harmonic analysis of probability measures on hypergroups, de Gruyter Studies in Mathematics, vol. 20. Walter de Gruyter & Co., Berlin (1995)

    Book  Google Scholar 

  2. Hewitt E., Ross K.A.: Abstract Harmonic Analysis Vol. I, Fundamental Principles of Mathematical Sciences vol. 115. Springer-Verlag, Berlin (1979)

    Google Scholar 

  3. L. Székelyhidi, Convolution Type Functional Equations on Topological Abelian Groups, World Scientific Publishing Co. Inc., 1991.

  4. L. Székelyhidi, Functional equations on hypergroups, In Functional equations, inequalities and applications, 167–181, Kluwer Acad. Publ., Dordrecht, 2003.

  5. Orosz Á., Székelyhidi L.: Moment functions on polynomial hypergroups in several variables. Publ. Math. 65, 429–438 (2004)

    MathSciNet  MATH  Google Scholar 

  6. Orosz Á., Székelyhidi L.: Moment functions on polynomial hypergroups. Arch. Math. 85, 141–150 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  7. Székelyhidi L.: Functional Equations on Hypergroups. World Scientific Publishing Co. Pte. Ltd., New Jersey, London (2012)

    MATH  Google Scholar 

  8. Ż. Fechner and L. Székelyhidi, Sine and cosine equations on hypergroups, (submitted).

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Authors and Affiliations

  1. Institute of Mathematical Finance, Ulm University, Helmholtzstrasse 18, 89081, Ulm, Germany

    Żywilla Fechner

  2. Institute of Mathematics, University of Debrecen, Debrecen, Hungary

    László Székelyhidi

Authors
  1. Żywilla Fechner
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  2. László Székelyhidi
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Corresponding author

Correspondence to László Székelyhidi.

Additional information

The research was partly supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. K111651.

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Fechner, Ż., Székelyhidi, L. Sine functions on hypergroups. Arch. Math. 106, 371–382 (2016). https://doi.org/10.1007/s00013-016-0884-4

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  • DOI: https://doi.org/10.1007/s00013-016-0884-4

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