A sine type functional equation on a topological group

Abstract In [13] H. Stetkær obtained the complex valued solutions of the functional equation f(xyz0)f(xy−1z0) = f(x)2 − f(y)2, x, y ∈ G, where G is a topological group and z0 ∈ Z(G) (the center of G). Our main goal is first to remove this restriction and secon...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Zeglami,D., Kabbaj,S., Tial,M.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	Sine functional equation Character Additive map Superstability
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200221
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0716-09172019000200221
record_format	dspace
spelling	oai:scielo:S0716-091720190002002212019-05-30A sine type functional equation on a topological groupZeglami,D.Kabbaj,S.Tial,M. Sine functional equation Character Additive map Superstability Abstract In [13] H. Stetkær obtained the complex valued solutions of the functional equation f(xyz0)f(xy−1z0) = f(x)2 − f(y)2, x, y ∈ G, where G is a topological group and z0 ∈ Z(G) (the center of G). Our main goal is first to remove this restriction and second, when G is 2-divisible and abelian, we will investigate the superstability of the above functional equation.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.2 20192019-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200221en10.4067/S0716-09172019000200221
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Sine functional equation Character Additive map Superstability
spellingShingle	Sine functional equation Character Additive map Superstability Zeglami,D. Kabbaj,S. Tial,M. A sine type functional equation on a topological group
description	Abstract In [13] H. Stetkær obtained the complex valued solutions of the functional equation f(xyz0)f(xy−1z0) = f(x)2 − f(y)2, x, y ∈ G, where G is a topological group and z0 ∈ Z(G) (the center of G). Our main goal is first to remove this restriction and second, when G is 2-divisible and abelian, we will investigate the superstability of the above functional equation.
author	Zeglami,D. Kabbaj,S. Tial,M.
author_facet	Zeglami,D. Kabbaj,S. Tial,M.
author_sort	Zeglami,D.
title	A sine type functional equation on a topological group
title_short	A sine type functional equation on a topological group
title_full	A sine type functional equation on a topological group
title_fullStr	A sine type functional equation on a topological group
title_full_unstemmed	A sine type functional equation on a topological group
title_sort	sine type functional equation on a topological group
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200221
work_keys_str_mv	AT zeglamid asinetypefunctionalequationonatopologicalgroup AT kabbajs asinetypefunctionalequationonatopologicalgroup AT tialm asinetypefunctionalequationonatopologicalgroup AT zeglamid sinetypefunctionalequationonatopologicalgroup AT kabbajs sinetypefunctionalequationonatopologicalgroup AT tialm sinetypefunctionalequationonatopologicalgroup
_version_	1718439847183515648

A sine type functional equation on a topological group

Ejemplares similares