Systems of left translates and oblique duals on the Heisenberg group
From MaRDI portal
Publication:6143742
DOI10.33205/cma.1382306arXiv2211.10240OpenAlexW4388632535MaRDI QIDQ6143742
Unnamed Author, Peter R. Massopust, Unnamed Author
Publication date: 24 January 2024
Published in: Constructive Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.10240
moment problemHeisenberg groupB-splinesHilbert-Schmidt operatorWeyl transformRiesz sequenceoblique dualGramian
General harmonic expansions, frames (42C15) Spline approximation (41A15) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)
Cites Work
- Unnamed Item
- Unnamed Item
- Shift invariant spaces on compact groups
- Characterization of shift-invariant spaces on a class of nilpotent Lie groups with applications
- The structure of translation-invariant spaces on locally compact abelian groups
- Harmonic analysis on the Heisenberg group
- The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
- Frames and Riesz bases for shift invariant spaces on the abstract Heisenberg group
- Shift-invariant system on the Heisenberg group
- Bracket map for the Heisenberg group and the characterization of cyclic subspaces
- Shift-invariant spaces on LCA groups
- Orthonormality of wavelet system on the Heisenberg group
- The structure of shift invariant spaces on a locally compact abelian group
- Riesz sequences of translates and generalized duals with support on \([0,1\)]
- Reproducing formulas for generalized translation invariant systems on locally compact abelian groups
- Harmonic Analysis in Phase Space. (AM-122)
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- Frames generated by compact group actions
- Shift-invariant Spaces with Countably Many Mutually Orthogonal Generators on the Heisenberg group
- Wavelet system and Muckenhoupt $\mathcal {A}_2$ condition on the Heisenberg group
- An introduction to frames and Riesz bases
This page was built for publication: Systems of left translates and oblique duals on the Heisenberg group