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Abstract:

Hartman proved in 1939 that the width of the largest possible strip in the complex plane on which a Dirichlet series ∑ nann− s is uniformly a.s.- sign convergent (i.e., ∑ nεnann− s converges uniformly for almost all sequences of signs εn = ±1) but does not convergent absolutely, equals 1/2. We study this result from a more modern point of view within the framework of so-called Hardytype Dirichlet series with values in a Banach space. © 2018, Hebrew University Magnes Press.

Registro:

Documento: Artículo
Título:Almost sure-sign convergence of Hardy-type Dirichlet series
Autor:Carando, D.; Defant, A.; Sevilla-Peris, P.
Filiación:Departamento de Matematica - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
IMAS - CONICET, Buenos Aires, Argentina
Institut für Mathematik, Universität Oldenburg, Oldenburg, D-26111, Germany
Instituto Universitario de Matem ática Pura y Aplicada, Universitat Politècnica de València, Valencia, 46022, Spain
Año:2018
Volumen:135
Número:1
Página de inicio:225
Página de fin:247
DOI: http://dx.doi.org/10.1007/s11854-018-0034-y
Título revista:Journal d'Analyse Mathematique
Título revista abreviado:J. Anal. Math.
ISSN:00217670
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00217670_v135_n1_p225_Carando

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Citas:

---------- APA ----------
Carando, D., Defant, A. & Sevilla-Peris, P. (2018) . Almost sure-sign convergence of Hardy-type Dirichlet series. Journal d'Analyse Mathematique, 135(1), 225-247.
http://dx.doi.org/10.1007/s11854-018-0034-y
---------- CHICAGO ----------
Carando, D., Defant, A., Sevilla-Peris, P. "Almost sure-sign convergence of Hardy-type Dirichlet series" . Journal d'Analyse Mathematique 135, no. 1 (2018) : 225-247.
http://dx.doi.org/10.1007/s11854-018-0034-y
---------- MLA ----------
Carando, D., Defant, A., Sevilla-Peris, P. "Almost sure-sign convergence of Hardy-type Dirichlet series" . Journal d'Analyse Mathematique, vol. 135, no. 1, 2018, pp. 225-247.
http://dx.doi.org/10.1007/s11854-018-0034-y
---------- VANCOUVER ----------
Carando, D., Defant, A., Sevilla-Peris, P. Almost sure-sign convergence of Hardy-type Dirichlet series. J. Anal. Math. 2018;135(1):225-247.
http://dx.doi.org/10.1007/s11854-018-0034-y