ALMOST PERIODIC GENERALIZED FUNCTIONS
ALMOST PERIODIC GENERALIZED FUNCTIONS
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Date
2013-07-01
Auteurs
Khalladi Mohammed Taha
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ISSN de la revue
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Éditeur
Université oran1 Ahmed Ben Bella
Résumé
The thesis is a study of almost periodicity and asymptotic almost periodicity in the context of generalized functions. We introduce the algebra of almost periodic generalized functions and the algebra of asymptotically almost periodic generalized functions of Colombeau type. Some linear ordinary differential equations in the algebra of almost periodic generalized functions are investigated.
Description
Mots-clés
Almost periodic functions, Asymptotically almost periodic functions, Almost periodic distributions, Asymptotically almost periodic distributions, Algebra of Colombeau, Almost periodic generalized functions, Generalized mean value, Generalized trigonometric polynomial, Linear ordinary differential equations, Asymptotically almost periodic generalized functions