Almost sure-sign convergence of Hardy-type Dirichlet series
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...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00217670_v135_n1_p225_Carando |
| Aporte de: |
| id |
todo:paper_00217670_v135_n1_p225_Carando |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_00217670_v135_n1_p225_Carando2023-10-03T14:20:49Z Almost sure-sign convergence of Hardy-type Dirichlet series Carando, D. Defant, A. Sevilla-Peris, P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00217670_v135_n1_p225_Carando |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Carando, D. Defant, A. Sevilla-Peris, P. |
| spellingShingle |
Carando, D. Defant, A. Sevilla-Peris, P. Almost sure-sign convergence of Hardy-type Dirichlet series |
| author_facet |
Carando, D. Defant, A. Sevilla-Peris, P. |
| author_sort |
Carando, D. |
| title |
Almost sure-sign convergence of Hardy-type Dirichlet series |
| title_short |
Almost sure-sign convergence of Hardy-type Dirichlet series |
| title_full |
Almost sure-sign convergence of Hardy-type Dirichlet series |
| title_fullStr |
Almost sure-sign convergence of Hardy-type Dirichlet series |
| title_full_unstemmed |
Almost sure-sign convergence of Hardy-type Dirichlet series |
| title_sort |
almost sure-sign convergence of hardy-type dirichlet series |
| url |
http://hdl.handle.net/20.500.12110/paper_00217670_v135_n1_p225_Carando |
| work_keys_str_mv |
AT carandod almostsuresignconvergenceofhardytypedirichletseries AT defanta almostsuresignconvergenceofhardytypedirichletseries AT sevillaperisp almostsuresignconvergenceofhardytypedirichletseries |
| _version_ |
1782028562678677504 |