Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups
Using the non-abelian Fourier transform, we find the central continuous solutions of the functional equation <img src="http:/fbpe/img/proy/v34n3/art07_for1.jpg" width="300" height="47"> where G is an arbitrary compact group, <img src="http:/fbpe/im...
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| Autores principales: | , , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2015
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300007 |
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| Sumario: | Using the non-abelian Fourier transform, we find the central continuous solutions of the functional equation <img src="http:/fbpe/img/proy/v34n3/art07_for1.jpg" width="300" height="47"> where G is an arbitrary compact group, <img src="http:/fbpe/img/proy/v34n3/art07_for2.jpg" width="200" height="43"> and σ is a continuous automorphism of G, such that σn = I. We express the solutions in terms of the unitary (group) characters of G. |
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