Shift invariant spaces on compact groups

DOI10.1016/j.bulsci.2012.11.003zbMath1291.43002OpenAlexW2039998337MaRDI QIDQ388132

Mohammad Hasan, H. S. Yoon

Publication date: 19 December 2013

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.11.003

zbMATH Keywords

compact groups\(H\)-invariant spaces\(H\)-preserving operatorsParseval frameRange functions

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (15)

Frames associated with shift-invariant spaces on local fields ⋮ Frames and Riesz bases for shift invariant spaces on the abstract Heisenberg group ⋮ Left translates of a square integrable function on the Heisenberg group ⋮ A sampling theorem for the twisted shift-invariant space ⋮ Frames generated by compact group actions ⋮ TWISTED SHIFT-INVARIANT SYSTEM IN ⋮ Frames and Riesz bases of twisted shift-invariant spaces in \(L^2(\mathbb{R}^{2 n})\) ⋮ Systems of left translates and oblique duals on the Heisenberg group ⋮ A study of oblique dual of a system of left translates on the Heisenberg group ⋮ Zak transform associated with the Weyl transform and the system of twisted translates on \(\mathbb{R}^{2n}\) ⋮ Modulation invariant spaces on locally compact abelian groups ⋮ Frames, biorthogonal dual and other properties associated with wavelet system on ℝ ⋮ Shift-invariant system on the Heisenberg group ⋮ Frames associated with shift invariant spaces on positive half line ⋮ Orthonormality of wavelet system on the Heisenberg group

Cites Work

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• Foundations of time-frequency analysis
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Shift-invariant spaces on LCA groups
• The structure of shift invariant spaces on a locally compact abelian group
• Existence of Borel transversals in groups
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces

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