Functional Equations on Hypergroups

DOI10.1142/8481zbMath1270.39016OpenAlexW1594311867MaRDI QIDQ4649593

László Székelyhidi

Publication date: 23 November 2012

Full work available at URL: https://doi.org/10.1142/8481

zbMATH Keywords

monographstabilityfunctional equationhypergroupdifference equationsexponential functionsspectral analysiscosine functional equationinvariant meansseveral variablesLevi-Cività functional equationsine functional equationpolynomial hypergroupSturm-Liouville hypergroups

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Harmonic analysis on hypergroups (43A62) Functional equations for functions with more general domains and/or ranges (39B52) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to difference and functional equations (39-01)

Related Items (22)

Sine functions on hypergroups ⋮ Spherical spectral synthesis on hypergroups ⋮ Moment functions on affine groups ⋮ Uncertainty principles for the Heckman-Opdam transform ⋮ Sine functions on compact commutative hypergroups ⋮ Remark on the spectral synthesis on infinite joins of finite hypergroups ⋮ Moment functions of higher rank on polynomial hypergroups ⋮ Spectral synthesis via moment functions on hypergroups ⋮ Endomorphisms and derivations of the measure algebra of commutative hypergroups ⋮ Generalized derivations and generalized exponential monomials on hypergroups ⋮ Moment functions of higher rank on some types of hypergroups ⋮ Homomorphisms from Functional Equations in Probability ⋮ Functional Equations and Stability Problems on Hypergroups ⋮ Invariant Means in Stability Theory ⋮ László Székelyhidi ⋮ Sturm-Liouville hypergroups and asymptotics ⋮ Sine and cosine type functional equations on hypergroups ⋮ Finite dimensional varieties on hypergroups ⋮ The cosine addition law with an additional term ⋮ Moment functions on groups ⋮ Moment functions and exponential monomials on commutative hypergroups ⋮ Lévy processes with respect to the Whittaker convolution

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