- 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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