Principal shift-invariant spaces with extra invariance nearest to observed data

DOI10.1007/s13348-011-0047-7zbMath1278.46026OpenAlexW2061223304MaRDI QIDQ1956310

Romain Tessera, Hai-Chao Wang, Akram Al-Droubi, Ilya A. Krishtal

Publication date: 13 June 2013

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-011-0047-7

zbMATH Keywords

least squaresshift-invariant spacestranslation invariance\(\frac 1n \mathbb Z\) invariance

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items (6)

Time-frequency shift invariance and the amalgam Balian-Low theorem ⋮ Applied harmonic analysis and sparse approximation. Abstracts from the workshop held June 10--16, 2012. ⋮ An approximation problem in multiplicatively invariant spaces ⋮ Uncertainty principles in finitely generated shift-invariant spaces with additional invariance ⋮ Subspaces with extra invariance nearest to observed data ⋮ Frame properties of shifts of prolate spheroidal wave functions

Cites Work

• Unnamed Item
• Uncertainty principles and Balian-Low type theorems in principal shift-invariant spaces
• On the existence of optimal unions of subspaces for data modeling and clustering
• Affine frame decompositions and shift-invariant spaces
• Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces
• Extra invariance of shift-invariant spaces on LCA groups
• Non-translation-invariance and the synchronization problem in wavelet sampling
• On the translation invariance of wavelet subspaces
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Invariance of a shift-invariant space
• Optimal shift invariant spaces and their Parseval frame generators
• Parseval frame wavelets with \(E_{n}^{(2)}\)-dilations
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Tight frame oversampling and its equivalence to shift-invariance of affine frame operators
• Fractional Splines and Wavelets
• Sampling expansions for functions having values in a Banach space
• An introduction to frames and Riesz bases

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