IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Tiling functions and Gabor orthonormal basis
Autor/es:
ANTEZANA, JORGE; AGORA, ELONA; KOLOUNTZAKIS, MIHAIL N.
Revista:
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2020 vol. 48 p. 96 - 122
ISSN:
1063-5203
Resumen:
We study the existence of Gabor orthonormal bases with window the characteristic function of the set Ω=[0,α]∪[β+α,β+1] of measure 1, with α,β>0. By the symmetries of the problem, we can restrict our attention to the case α≤1/2. We prove that either if α