Zeglami, D. and Fadli, B. and Kabbaj, S. (2016) Harmonic analysis and generalized functional equations for the cosine. Advances in Pure and Applied Mathematics, 7 (1). pp. 41-49.
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Abstract
Let G be a locally compact group and let μ be a regular, compactly supported, complex-valued Borel measure on G. In the present paper, we determine the continuous solutions f,g : G → C of the functional equation fG f(xyt) + f(xy-1t)dμ(t) = 2g(x)f(y), x,y G, in terms of characters, additive maps and matrix elements of irreducible, two-dimensional representations of G. Many consequences of this result are presented. © 2016 by De Gruyter 2016.
| Item Type: | Article |
|---|---|
| Subjects: | Mathematics |
| Divisions: | SCIENTIFIC PRODUCTION > Mathematics |
| Depositing User: | Administrateur Eprints Administrateur Eprints |
| Last Modified: | 31 Jan 2020 15:48 |
| URI: | http://eprints.umi.ac.ma/id/eprint/3998 |
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