Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Exponential frames on unbounded sets


Authors: Shahaf Nitzan, Alexander Olevskii and Alexander Ulanovskii
Journal: Proc. Amer. Math. Soc. 144 (2016), 109-118
MSC (2010): Primary 42A38, 42C15, 94A12
DOI: https://doi.org/10.1090/proc/12868
Published electronically: September 4, 2015
MathSciNet review: 3415581
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: For every set $S$ of finite measure in $\mathbb {R}$ we construct a discrete set of real frequencies $\Lambda$ such that the exponential system $\{\exp (i\lambda t),\lambda \in \Lambda \}$ is a frame in $L^2(S)$.


References [Enhancements On Off] (What's this?)

References

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 42A38, 42C15, 94A12

Retrieve articles in all journals with MSC (2010): 42A38, 42C15, 94A12


Additional Information

Received by editor(s): November 10, 2014
Published electronically: September 4, 2015
Communicated by: Alexander Iosevich
Article copyright: © Copyright 2015 American Mathematical Society