Invariant Means in Stability Theory

DOI10.1007/978-3-030-28972-0_19zbMath1441.39031OpenAlexW2982685912MaRDI QIDQ5120035

László Székelyhidi

Publication date: 9 September 2020

Published in: Ulam Type Stability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28972-0_19

zbMATH Keywords

stabilityhypergroup

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Research exposition (monographs, survey articles) pertaining to difference and functional equations (39-02) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

• Superstability of functional equations related to spherical functions
• Amenable semigroups
• On Burnside's problem on periodic groups
• The stability of homomorphisms and amenability, with applications to functional equations
• Elementary amenable groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Amenable hypergroups
• The stability of the quadratic functional equation on amenable groups
• Analysis on a class of Banach algebras with applications to harmonic analysis on locally compact groups and semigroups
• Cellular Automata and Groups
• An example of a finitely presented amenable group not belonging to the classEG
• On a Theorem of Baker, Lawrence and Zorzitto
• Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
• Amenability of Groups and G-Sets
• Functional Equations on Hypergroups
• Note on a Stability Theorem
• A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
• The Stability of the Sine and Cosine Functional Equations
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