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

In: Approximation and Computation in Science and Engineering

Author

Listed:
  • Nikolaos Atreas

    (Aristotle University of Thessaloniki, University Campus)

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.

Suggested Citation

  • Nikolaos Atreas, 2022. "Finite Shift-Invariant Subspaces of Periodic Functions: Characterization, Approximation, and Applications," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Approximation and Computation in Science and Engineering, pages 77-90, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-84122-5_5
    DOI: 10.1007/978-3-030-84122-5_5
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