Generalized derivations and generalized exponential monomials on hypergroups

• Autorzy: Fechner Żywilla , Gselmann Eszter , Székelyhidi László

Identyfikatory

DOI

10.7494/OpMath.2023.43.4.493

• Języki publikacji: EN

Abstrakty

EN

In one of our former papers Endomorphisms of the measure algebra of commutative hypergroups we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra. Continuing with this, we are now looking for the connection between the generalized exponential polynomials of a commutative hypergroup and the higher order derivations of the corresponding measure algebra.

Słowa kluczowe

EN

moment function; moment sequence; exponential monomial; exponential polynomial; derivation; higher order derivation; hypergroup

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2023
• Tom: Vol. 43, no. 4
• Strony: 493--505
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Fechner Żywilla

• Lodz University of Technology, Institute of Mathematics, al. Politechniki 10, 93–590 Łódź, Poland

• https://orcid.org/0000-0001-7412-6544

autor

Gselmann Eszter

• Institute of Mathematics, University of Debrecen, H-4002 Debrecen, P.O. Box: 400, Hungary

• https://orcid.org/0000-0002-1708-2570

autor

Székelyhidi László

• Institute of Mathematics, University of Debrecen, H-4002 Debrecen, P.O. Box: 400, Hungary

• https://orcid.org/0000-0001-8078-6426

Bibliografia

• [1] W.R. Bloom, H. Heyer, Harmonic analysis of probability measures on hypergroups, volume 20 of De Gruyter Studies in Mathematics, Walter de Gruyter & Co., Berlin, 1995.
• [2] Ż. Fechner, E. Gselmann, L. Székelyhidi, Endomorphisms of the measure algebra of commutative hypergroups (2022), arXiv:2204.07499.
• [3] L. Székelyhidi, Functional Equations on Hypergroups, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013.
• [4] L. Székelyhidi, Harmonic and Spectral Analysis, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2014.
• [5] K. Vati, L. Székelyhidi, Exponential monomials on hypergroup joins, Miskolc Math. Notes 21 (2020), no. 1, 463–472.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)