Subspaces with extra invariance nearest to observed data

Given an arbitrary finite set of data F={f1,…,fm}⊂L2(Rd) we prove the existence and show how to construct a “small shift invariant space” that is “closest” to the data F over certain class of closed subspaces of L2(Rd). The approximating subspace is required to have extra-invariance properties, that...

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Detalles Bibliográficos
Autores principales: Cabrelli, C., Mosquera, C.A.
Formato: JOUR
Materias:
Extra-invariance
Paley–Wiener spaces
Sampling
Shift invariant spaces
Harmonic analysis
Approximation problems
Closed subspace
Parseval frames
Primary
Secondary
Shift-invariant space
Translation invariants
Wiener spaces
Functional analysis
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10635203_v41_n2_p660_Cabrelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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