INVESTIGADORES
CARANDO Daniel German
artículos
Título:
Vector-valued general Dirichlet series
Autor/es:
CARANDO, DANIEL; DEFANT, ANDREAS; MARCECA, FELIPE; SCHOOLMANN, INGO
Revista:
STUDIA MATHEMATICA
Editorial:
POLISH ACAD SCIENCES INST MATHEMATICS
Referencias:
Año: 2021 vol. 258 p. 269 - 316
ISSN:
0039-3223
Resumen:
Opened up by early contributions due to, among others, Besicovitch, Bohr, Bohnenblust, Hardy, Hille, Riesz, Neder and Landau, the last 20 years show a substantial revival of systematic research on ordinary Dirichlet series $sum a_n n^{-s}$, and more recently even on general Dirichlet series$sum a_n e^{-lambda_n s}$. This involves the intertwining of classical work with modern functional analysis, harmonic analysis, infinite dimensional holomorphy and probability theory as well as analytic number theory.Motivated through this line of research the main goal of this article is to start a systematic study of a variety of fundamental aspects of vector-valued general Dirichlet series$sum a_n e^{-lambda_{n} s}$, so Dirichlet series, where the coefficients are not necessarily in $C$ but in some arbitrary Banach space $X$.
