INVESTIGADORES
ANTEZANA Jorge Abel
artículos
Título:
Splitting the Riesz basis condition for systems of dilated functions through Dirichlet series
Autor/es:
ANTEZANA, JORGE; DANIEL CARANDO; MELISA SCOTTI
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2021
ISSN:
0022-247X
Resumen:
Inspired by the work of Hedenmalm, Lindqvist and Seip, we consider different properties of dilations systems of a fixed function F in L^2(0,1). More precisely, we study when the system {F(nx)}_n is a Bessel sequence, a Riesz sequence, or it satisfies the lower frame bound. We are able to characterize these properties in terms of multipliers of the Hardy space H^2 of Dirichtet series and, also, in terms of Hardy spaces on the infinite polytorus. We also address the multivariate case.
