Sampling in Paley-Wiener spaces, uncertainty and the prolate spheroidal wavefunctions

Title: Sampling in Paley-Wiener spaces, uncertainty and the prolate spheroidal wavefunctions
Creator: Hogan, Jeffrey A.; Lakey, Joseph D.
Relation: AMSI/AustMS 2014 Workshop in Harmonic Analysis and its Applications. Proceedings of the AMSI/AustMS 2014 Workshop in Harmonic Analysis and its Applications (Sydney 21-25 July, 2014) p. 50-66
Relation: http://maths.anu.edu.au/research/cma-proceedings/proceedings-amsiaustms-2014-workshop-harmonic-analysis-and-its-applications
Publisher: Centre for Mathematics and its Applications
Resource Type: conference paper
Date: 2017
Description: After an introduction to the properties of prolate spheroidal wavefunctions and schemes for their computation, we investigate their role in the sampling theory of bandlimited signals. We then give a result on the ℓ²-energy of the tail of sequences generated by their uniform samples, and as a corollary, a local approximate sampling formula for bandlimited functions which are well-concentrated on an interval.
Subject: sampling; uncertainty; prolate spheroidal wavefunctions; quadrature
Identifier: http://hdl.handle.net/${Handle}
Identifier: uon:32355
Identifier: ISBN:9780648105619
Language: eng
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