Riesz bases of exponentials on multiband spectra
Author:
Nir Lev
Journal:
Proc. Amer. Math. Soc. 140 (2012), 3127-3132
MSC (2010):
Primary 42C15, 94A12
DOI:
https://doi.org/10.1090/S0002-9939-2012-11138-4
Published electronically:
January 18, 2012
MathSciNet review:
2917085
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Let be the union of finitely many disjoint intervals on
. Suppose that there are two real numbers
such that the length of each interval belongs to
. We use quasicrystals to construct a discrete set
such that the system of exponentials
is a Riesz basis in the space
.
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Additional Information
Nir Lev
Affiliation:
Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
Email:
nir.lev@weizmann.ac.il
DOI:
https://doi.org/10.1090/S0002-9939-2012-11138-4
Keywords:
Riesz bases,
multiband signals,
quasicrystals
Received by editor(s):
February 6, 2011
Received by editor(s) in revised form:
March 21, 2011
Published electronically:
January 18, 2012
Communicated by:
Michael T. Lacey
Article copyright:
© Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.