The generalized Van Vleck's equation on locally compact groups

Abstract We determine the continuous solutions ʄ, g: G → C of each of the two functional equations where G is a locally compact group, σ is a continuous involutive automorphism on G, and μ is a compactly supported, complex-valued Borel measure on G.

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Detalles Bibliográficos
Autores principales: Fadli,B., Zeglami,D., Kabbaj,S.
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=S0716-09172017000400545
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Descripción
Sumario:Abstract We determine the continuous solutions ʄ, g: G → C of each of the two functional equations where G is a locally compact group, σ is a continuous involutive automorphism on G, and μ is a compactly supported, complex-valued Borel measure on G.