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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Autores principales: Dimou,Hajira, Kabbaj,Samir
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2017
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000300485
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spelling 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
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