A generalization of variant of Wilson's type Hilbert space valued functional equations
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 superst...
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Universidad Católica del Norte, Departamento de Matemáticas
2017
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oai:scielo:S0716-091720170003004852017-10-31A generalization of variant of Wilson's type Hilbert space valued functional equationsDimou,HajiraKabbaj,Samir 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.3 20172017-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000300485en10.4067/S0716-09172017000300485 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
D'Alembert's functional equation Hilbert space Hadamard product superstability. |
spellingShingle |
D'Alembert's functional equation Hilbert space Hadamard product superstability. Dimou,Hajira Kabbaj,Samir A generalization of variant of Wilson's type Hilbert space valued functional equations |
description |
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 |
Dimou,Hajira Kabbaj,Samir |
author_facet |
Dimou,Hajira Kabbaj,Samir |
author_sort |
Dimou,Hajira |
title |
A generalization of variant of Wilson's type Hilbert space valued functional equations |
title_short |
A generalization of variant of Wilson's type Hilbert space valued functional equations |
title_full |
A generalization of variant of Wilson's type Hilbert space valued functional equations |
title_fullStr |
A generalization of variant of Wilson's type Hilbert space valued functional equations |
title_full_unstemmed |
A generalization of variant of Wilson's type Hilbert space valued functional equations |
title_sort |
generalization of variant of wilson's type hilbert space valued functional equations |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2017 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000300485 |
work_keys_str_mv |
AT dimouhajira ageneralizationofvariantofwilsonstypehilbertspacevaluedfunctionalequations AT kabbajsamir ageneralizationofvariantofwilsonstypehilbertspacevaluedfunctionalequations AT dimouhajira generalizationofvariantofwilsonstypehilbertspacevaluedfunctionalequations AT kabbajsamir generalizationofvariantofwilsonstypehilbertspacevaluedfunctionalequations |
_version_ |
1718439826067292160 |