Finite Shift-Invariant Subspaces of Periodic Functions: Characterization, Approximation, and Applications

Nikolaos Atreas ()
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Nikolaos Atreas: Aristotle University of Thessaloniki, University Campus

A chapter in Approximation and Computation in Science and Engineering, 2022, pp 77-90 from Springer

Abstract: Abstract We discuss approximations of square integrable periodic functions by their projections in finite shift-invariant subspaces and highlight the role of principal shift invariance. We also show how we may produce a variety of sampling representations based on finite frame theory and we discuss some applications.

Keywords: Finite frames; Average sampling; Shift-invariant spaces (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84122-5_5

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DOI: 10.1007/978-3-030-84122-5_5

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