On Borel summability and analytic functionals

DOI10.1216/RMJ-2013-43-3-895zbMath1293.30005arXiv1306.4559OpenAlexW3103371120MaRDI QIDQ2393433

Jasson Vindas, Ricardo Estrada

Publication date: 8 August 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4559

zbMATH Keywords

entire functions of exponential typeformal power seriesBorel summabilityanalytic functionalsSilva tempered ultradistributions

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Hyperfunctions, analytic functionals (46F15) Abel, Borel and power series methods (40G10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth

Cites Work

• Les séries de multipoles des physiciens et la théorie des ultradistributions
• Les fonctions analytiques comme ultradistributions dans le calcul opérationnel
• Tauberian Theory
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