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On a quadratic type functional equation on locally compact abelian groups

Open Access
|Sep 2018

References

  1. [1] S. Czerwik, Functional Equations and Inequalities in Several Variables, World Scientific, New Jersey, London, Singapore, Hong Kong, (2002).10.1142/4875
  2. [2] B. Fadli, D. Zeglami, S. Kabbaj, On Gajda’s type quadratic equation on locally compact abelian group, indagationes. Math. 26 (4) (2015), 660–668.10.1016/j.indag.2015.05.001
  3. [3] Ż. Fechner, L. Székelyhidi, A generalization of Gajda’s equation on commutative topological groups (9 Mar 2014), arXiv:1403.2052[math.FA].
  4. [4] E. Hewitt, K. A. Ross, Abstract harmonic analysis. Vol. I: Structure of topological groups. Integration theory. Group representations, Die Grundlehren der Mathematischen Wissenschaften, Band 115. Springer-Verlag, Berlin-Gottingen-Heidelberg, 1963.
  5. [5] P. Kannappan, Functional Equations and Inequalities with Applications, in: Springer Monographs in Mathematics, Springer, New York, 2009.10.1007/978-0-387-89492-8
  6. [6] R. Łukasik, Some generalization of Cauchy’s and the quadratic functional equations, Aequationes Math., 83 (2012), 75–86.10.1007/s00010-011-0106-x
  7. [7] H. Stetkær,Functional equations involving means of functions on the complex plane, Aequationes. Math. 56 (1998), 47–62.10.1007/s000100050043
  8. [8] H. Stetkær, Functional equations on abelian groups with involution, II, Aequationes. Math. 55 (1998), 227–240.10.1007/s000100050032
  9. [9] H. Stetkær, Functional Equations on Groups, World Scientific Publishing Co., Singapore, 2013.10.1142/8830
  10. [10] L. Székelyhidi, Convolution Type Functional Equations on Topological Abelian Groups, World Scientific, Singapore, 1991.10.1142/1406
Language: English
Page range: 46 - 55
Submitted on: May 10, 2017
Published on: Sep 10, 2018
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2018 Hajira Dimou, Youssef Aribou, Abdellatif Chahbi, Samir Kabbaj, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.