The integral sine addition law
Abstract In the present paper we determine, in terms of characters and additive functions, the solutions of the integral functional equation for the sine addition law (G f(xyt)dµ(t) = f(x)g(y) + g(x)f(y), x, y ∈ G, where G is a locally compact Hausdorff group and µ is a regular, compactly...
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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oai:scielo:S0716-091720190002002032019-05-30The integral sine addition lawZeglami,D.Tial,M.Kabbaj,S. Functional equation Sine and cosine addition laws Character Borel measure. Abstract In the present paper we determine, in terms of characters and additive functions, the solutions of the integral functional equation for the sine addition law (G f(xyt)dµ(t) = f(x)g(y) + g(x)f(y), x, y ∈ G, where G is a locally compact Hausdorff group and µ is a regular, compactly supported, complex-valued Borel measure on G. Some consequences of this result and an example are presented.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=S0716-09172019000200203en10.4067/S0716-09172019000200203 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Functional equation Sine and cosine addition laws Character Borel measure. |
| spellingShingle |
Functional equation Sine and cosine addition laws Character Borel measure. Zeglami,D. Tial,M. Kabbaj,S. The integral sine addition law |
| description |
Abstract In the present paper we determine, in terms of characters and additive functions, the solutions of the integral functional equation for the sine addition law (G f(xyt)dµ(t) = f(x)g(y) + g(x)f(y), x, y ∈ G, where G is a locally compact Hausdorff group and µ is a regular, compactly supported, complex-valued Borel measure on G. Some consequences of this result and an example are presented. |
| author |
Zeglami,D. Tial,M. Kabbaj,S. |
| author_facet |
Zeglami,D. Tial,M. Kabbaj,S. |
| author_sort |
Zeglami,D. |
| title |
The integral sine addition law |
| title_short |
The integral sine addition law |
| title_full |
The integral sine addition law |
| title_fullStr |
The integral sine addition law |
| title_full_unstemmed |
The integral sine addition law |
| title_sort |
integral sine addition law |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2019 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200203 |
| work_keys_str_mv |
AT zeglamid theintegralsineadditionlaw AT tialm theintegralsineadditionlaw AT kabbajs theintegralsineadditionlaw AT zeglamid integralsineadditionlaw AT tialm integralsineadditionlaw AT kabbajs integralsineadditionlaw |
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