Phase retrieval for nilpotent groups

DOI10.1007/s00041-023-10031-5arXiv2201.08654OpenAlexW4385302999MaRDI QIDQ6170361

Hartmut Führ, Vignon Oussa

Publication date: 16 August 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.08654

zbMATH Keywords

framesnilpotent Lie groupsphase retrievalfinite nilpotent group

Mathematics Subject Classification ID

Nilpotent groups (20F18) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Phase retrieval for affine groups over prime fields ⋮ On the existence of maximal spanning vectors in \(L^2( \mathbb{Q}_2)\) and \(L^2( \mathbb{F}_2((T)))\)

Cites Work

• Unnamed Item
• Phase retrieval from Gabor measurements
• Phase retrieval for the Cauchy wavelet transform
• Foundations of time-frequency analysis
• Phase retrievable projective representation frames for finite abelian groups
• Phase retrieval of real-valued signals in a shift-invariant space
• Full spark frames in the orbit of a representation
• On signal reconstruction without phase
• A note on Gabor frames in finite dimensions
• Stability estimates for phase retrieval from discrete Gabor measurements
• Phase retrieval of bandlimited functions for the wavelet transform
• Induced Representations of Locally Compact Groups
• Phase Retrieval: Uniqueness and Stability
• Groups of order $p^8$ and exponent $p$
• The numerics of phase retrieval

This page was built for publication: Phase retrieval for nilpotent groups