Affine density, von Neumann dimension and a problem of Perelomov

DOI10.1016/j.aim.2022.108564zbMath1502.42025arXiv2012.11314OpenAlexW3202447700MaRDI QIDQ2166339

Luís Daniel Abreu, M. Speckbacher

Publication date: 24 August 2022

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

Full work available at URL: https://arxiv.org/abs/2012.11314

zbMATH Keywords

waveletsBergman spacesvon Neumann algebrasMaass formsBeurling density

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General theory of von Neumann algebras (46L10) General harmonic expansions, frames (42C15) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (2)

The affine ensemble: determinantal point processes associated with the \(ax + b\) group ⋮ Editors' comments on the article by Vaughan Jones: ``Bergman space zero sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Superframes and polyanalytic wavelets
• Discrete coherent states for higher Landau levels
• Landau's necessary density conditions for the Hankel transform
• Density results for continuous frames
• Gabor (super)frames with Hermite functions
• On the Landau levels on the hyperbolic plane
• Von Neumann algebras associated with pairs of lattices in Lie groups
• Coherent states for the Lobachevskian plane
• An extension of the Nevanlinna theory
• A geometric construction of the discrete series for semisimple Lie groups
• Beurling type density theorems in the unit disk
• Gabor time-frequency lattices and the Wexler-Raz identity
• Density of weighted wavelet frames
• Remarks on some associated Laguerre integral results
• Foundations of time-frequency analysis
• Density of Gabor frames
• Square integrable representations, von Neumann algebras and an application to Gabor analysis
• Incompleteness of sparse coherent states
• History and evolution of the density theorem for Gabor frames
• Affine density in wavelet analysis
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• Necessary density conditions for sampling an interpolation of certain entire functions
• Coherent states for arbitrary Lie group
• The homogeneous approximation property for wavelet frames
• Über eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. (On a new type of nonanalytic automorphic functions and the determination of Dirichlet series by functional equations)
• A note on the density theorem for projective unitary representations
• UNIFORM EIGENVALUE ESTIMATES FOR TIME-FREQUENCY LOCALIZATION OPERATORS
• Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations
• The Γ-equivariant form of the Berezin quantization of the upper half plane
• Regular Sets of Sampling and Interpolation for Weighted Bergman Spaces
• Corrigendum to: “A lattice‐point problem in hyperbolic space”
• Rotation invariant ambiguity functions
• Characterization of hyperbolic Landau states by coherent state transforms
• Uniform Lattice Point Estimates for Co-Finite Fuchsian Groups
• Density of sampling and interpolation in reproducing kernel Hilbert spaces
• Characterization of Analytic Wavelet Transforms and a New Phaseless Reconstruction Algorithm

This page was built for publication: Affine density, von Neumann dimension and a problem of Perelomov