Memorias de investigación
Research Publications in journals:
The zero-removing property in some Hilbert spaces of entire functions arising in sampling theory
Year:2015
Research Areas
  • Mathematics
Information
Abstract
In the topic of sampling in reproducing kernel Hilbert spaces, sampling in Paley-Wiener spaces is the paradigmatic example. A natural generalization of Paley-Wiener spaces is obtained by substituting the Fourier kernel with an analytic Hilbert-space-valued kernel K.Thuswe obtain a reproducing kernel Hilbert space HK of entire functions in which the Kramer property allows to prove a sampling theorem. A necessary and sufficient condition ensuring that this sampling formula can be written as a Lagrange-type interpolation series concerns the stability under removal of a finite number of zeros of the functions belonging to the space HK;this is the so-called zero-removing property. This work is devoted to the study of the zero-removing property in HK spaces, regardless of the Kramer property, revealing its connections with other mathematical fields.
International
Si
JCR
Si
Title
Results in Mathematics
ISBN
1422-6383
Impact factor JCR
0,642
Impact info
Volume
67
Journal number
From page
471
To page
494
Month
SIN MES
Ranking
Participants
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones