Fonctions définies dans le plan et vérifiant certaines propriétés de moyenne

DOI10.5802/aif.841zbMath0438.43010OpenAlexW2082642642MaRDI QIDQ1141856

Alain Yger

Publication date: 1981

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1981__31_3_115_0

zbMATH Keywords

convolution equationsLiouville numberexponential-solutionsslowly decreasing in sense of Berenstein-Taylor

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Harmonic analysis in several variables (42B99) Trigonometric and exponential sums (general theory) (11L03) Functional equations and inequalities (39B99) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (4)

On Lojasiewicz-type inequalities for exponential polynomials ⋮ Polytopes and the mean value property ⋮ On systems of linear functional equations ⋮ Ideals generated by exponential-polynomials

Cites Work

• Mean-values and polyharmonic polynomials
• Théorie des fonctions moyenne-périodiques de deux variables
• Interpolation problems in \(C^ n\) with applications to harmonic analysis
• Remarques sur un théorème de J. Delsarte
• Counterexamples to a problem of L. Schwartz
• Non-Liouville numbers and a theorem of Hörmander
• Finitely generated ideals in rings of analytic functions
• On the structure of some distributions discovered by Meisters
• Uniqueness of the Cauchy problem for convolution equations.
• The area of analytic varieties in $\mathsf{C}^n$
• Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids
• Mean-Values and Harmonic Polynomials
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