Hilbert spaces of holomorphic Dirichlet series and applications to convolution equations

DOI10.1006/jmaa.1997.5183zbMath0888.46010OpenAlexW1991842381MaRDI QIDQ1353533

Le Hai Khoi

Publication date: 3 July 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5183

zbMATH Keywords

Laplace transformsequence spacespaces of holomorphic functionsDirichlet seriesconvolution operatorconvolution equationconvex domainsanalytic functionalrepresenting systemsrepresenting systemminimum Hilbert norm

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Sequence spaces (including Köthe sequence spaces) (46A45) Laplace transform (44A10) Linear operators on function spaces (general) (47B38) General harmonic expansions, frames (42C15) Hyperfunctions, analytic functionals (46F15) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Dirichlet series, exponential series and other series in one complex variable (30B50) Other generalizations of function theory of one complex variable (32A30)

Related Items (1)

Composition operators on Hilbert spaces of entire Dirichlet series

Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• On the Fabry-Ehrenpreis-Kawai gap theorem
• Dirichlet series and convolution equations
• Convolution equations in domains of \(\mathbb{C}^ n\)
• Mean Periodic Functions: Part I. Varieties Whose Annihilator Ideals Are Principal
• Representing systems
• Holomorphic Dirichlet Series in Several Variables.
• Équations différentielles d'ordre infini
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