Hilbert-Schmidt Gabor-like frames on LCA groups

DOI10.1007/s00025-024-02350-wMaRDI QIDQ6667729

Jingsheng Wang, Pengtong Li

Publication date: 20 January 2025

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

locally compact abelian groupdensity theoremGabor frameHilbert-Schmidt operator

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Abstract harmonic analysis (43-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Density and duality theorems for regular Gabor frames
• Deformations and Balian-Low theorems for Gabor frames on the adeles
• Multiplication-invariant operators and the classification of LCA group frames
• Fourier-like frames on locally compact abelian groups
• Subspaces of \(L^2(G)\) invariant under translation by an abelian subgroup
• The density theorem for projective representations via twisted group von Neumann algebras
• The density theorem for discrete series representations restricted to lattices
• Reproducing formulas for generalized translation invariant systems on locally compact abelian groups
• Operator-valued frames
• The Γ-equivariant form of the Berezin quantization of the upper half plane
• An introduction to frames and Riesz bases
• The density theorem and its applications for operator-valued Gabor frames on LCA groups

This page was built for publication: Hilbert-Schmidt Gabor-like frames on LCA groups