Superstability of functional equations related to spherical functions

Author:

Székelyhidi László12

Affiliation:

1. Institute of Mathematics, University of Debrecen, Egyetem tér 1., P.O. Box 12, H 4010 Debrecen, Hungary

2. Department of Mathematics, University of Botswana, Botswana, Southern Africa

Abstract

Abstract In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. LIE BRACKET JORDAN DERIVATIONS IN BANACH JORDAN ALGEBRAS;J KOREAN SOC MATH ED;2021

2. Ulam stability of an additive-quadratic functional equation in Banach spaces;Journal of Mathematical Inequalities;2020

3. Set-Valued Additive Functional Equations;Constructive Mathematical Analysis;2019-06-01

4. Invariant Means in Stability Theory;Ulam Type Stability;2019

5. Functional Equations and Stability Problems on Hypergroups;Developments in Functional Equations and Related Topics;2017

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