Ordre, convergence et sommabilité de produits de séries de Dirichlet. (Order, convergence and summability of products of Dirichlet series.)

DOI10.5802/aif.1571zbMath0977.11037OpenAlexW2330941965MaRDI QIDQ1354875

Jean-Pierre Kahane, Hervé Queffélec

Publication date: 13 May 1997

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1997__47_2_485_0

zbMATH Keywords

convergenceBohrsummabilityorderRiesz meansDirichlet seriesalmost sure convergenceLindelöf functionalmost sure Fubini theorem

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Dirichlet series, exponential series and other series in one complex variable (30B50) Abel, Borel and power series methods (40G10)

Related Items (4)

Division and composition theorems in the ring of analytic Dirichlet series. ⋮ Old and recent results in the analytic theory of Dirichlet series: a survey ⋮ Some remarks on the algebra of bounded Dirichlet series ⋮ Baire's category theorem and trigonometric series

Cites Work

• On three notes of Stieltjes concerning Dirichlet series
• Propriétés Presque Sûres et Quasi-Sûres Des Séries de Dirichletet et des Produits D'Euler
• A theorem on Dirichlet series
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