Phase retrieval for continuous Gabor frames on locally compact abelian groups

DOI10.1007/s43037-020-00118-2zbMath1481.43002OpenAlexW3124748558MaRDI QIDQ2227644

Wen-Lung Lo, Hailong Xu, Chuangxun Cheng

Publication date: 15 February 2021

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43037-020-00118-2

zbMATH Keywords

phase retrievalcontinuous frameStone-von Neumann theoremFourier analysis on local fieldsmaximal spanning vector

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) General harmonic expansions, frames (42C15) Applications of group representations to physics and other areas of science (20C35) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Projective representations and multipliers (20C25) Analysis on specific locally compact and other abelian groups (43A70) Structure of group algebras of LCA groups (22B10)

Related Items (3)

Spline function generating Gabor systems on the half real line ⋮ Rationally sampled Gabor frames on the half real line ⋮ On the existence of maximal spanning vectors in \(L^2( \mathbb{Q}_2)\) and \(L^2( \mathbb{F}_2((T)))\)

Cites Work

• Phase retrieval from Gabor measurements
• A character theory for projective representations of finite groups.
• Painless reconstruction from magnitudes of frame coefficients
• Foundations of time-frequency analysis
• Phase retrievable projective representation frames for finite abelian groups
• Continuity and measurability of multiplier and projective representations
• Zeros of the Wigner distribution and the short-time Fourier transform
• On twisted group frames
• On signal reconstruction without phase
• Linear independence of Gabor systems in finite dimensional vector spaces
• Multipliers on Abelian groups
• On the role of the Heisenberg group in harmonic analysis
• Principles of harmonic analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Phase retrieval for continuous Gabor frames on locally compact abelian groups