Dirichlet series and convolution equations

DOI10.2977/prims/1195174696zbMath0668.30005OpenAlexW2043069701MaRDI QIDQ1118060

Daniele C. Struppa, Carlos. A. Berenstein

Publication date: 1988

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195174696

zbMATH Keywords

Dirichlet seriesanalytic continuationmean periodic functions

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Hyperfunctions (32A45) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (11)

Superoscillating sequences in several variables ⋮ Interpolating varieties for spaces of meromorphic functions ⋮ Leon Ehrenpreis, a Unique Mathematician ⋮ Hilbert spaces of holomorphic Dirichlet series and applications to convolution equations ⋮ Quantum harmonic oscillator with superoscillating initial datum ⋮ Mean-periodicity and zeta functions ⋮ Superoscillating sequences towards approximation in \(\mathscr{S}\) or \(\mathscr{S}^\prime\)-type spaces and extrapolation ⋮ Expansion in series of exponential polynomials of mean-periodic functions with growth conditions ⋮ Superoscillating sequences as solutions of generalized Schrödinger equations ⋮ The Mathematics of Superoscillations ⋮ Overconvergence phenomena and grouping in exponential representation of solutions of linear differential equations of infinite order

Cites Work

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• On the Fabry-Ehrenpreis-Kawai gap theorem
• A new look at interpolation theory for entire functions of one variable
• Interpolation problems in \(C^ n\) with applications to harmonic analysis
• [https://portal.mardi4nfdi.de/wiki/Publication:3342840 Geometric Condition for Universal Interpolation in ^ E   �]
• The Fabry-Ehrenpreis Gap Theorem and Linear Differential Equations of Infinite Order
• Solutions of Convolution Equations in Convex Sets
• The fundamental principle for systems of convolution equations

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