A generalization of variant of Wilson stype Hilbert space valued functional equations.

Authors

  • Hajira Dimou Ibn Tofail University.
  • Samir Kabbaj Ibn Tofail University.

Keywords:

D’Alembert’s functional equation, Hilbert space, Hadamard product, Superstability

Abstract

In the present paper we characterize, in terms of characters, multiplicative functions, the continuous solutions of some functional equations for mappings defined on a monoid and taking their values in a complex Hilbert space with the Hadamard product. In addition, we investigate a superstability result for these equations.

Author Biographies

Hajira Dimou, Ibn Tofail University.

Department of Mathematics, Faculty of Sciences.

Samir Kabbaj, Ibn Tofail University.

Department of Mathematics, Faculty of Sciences.

References

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Published

2017-10-20

How to Cite

[1]
H. Dimou and S. Kabbaj, “A generalization of variant of Wilson stype Hilbert space valued functional equations.”, Proyecciones (Antofagasta, On line), vol. 36, no. 3, pp. 485-498, Oct. 2017.

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