Fonctions moyenne-périodiques associées à un opérateur différentiel singulier sur (0,\(\infty)\) et développement en série de Fourier généralisée. (Mean periodic functions associated to a singular differential operator on (0,\(\infty)\) and deve

zbMath0581.47033MaRDI QIDQ1067588

Khalifa Trimèche

Publication date: 1986

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

convolution equationgeneralized Fourier seriesgeneralized translation operatoreven distributiongeneralized mean periodic functionsingular ordinary differential operator

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (4)

A local two radii theorem on the Chébli-Trimèche hypergroup ⋮ Hypercyclic and chaotic convolution operators on Chébli-Trimèche hypergroups ⋮ On the existence of positive solutions of a singular nonlinear eigenvalue problem ⋮ The finite Legendre transformation of generalized functions

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