Some curious results related to a conjecture of Strohmer and Beaver
DOI10.1142/S0219530520500177zbMath1480.42041arXiv1901.00356OpenAlexW2908461350WikidataQ123258642 ScholiaQ123258642MaRDI QIDQ5163055
Publication date: 8 November 2021
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.00356
theta functionsLaplace-Beltrami operatorheat kernelzeta functionsDedekind eta functionGaussian Gabor systems
General harmonic expansions, frames (42C15) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Elliptic functions and integrals (33E05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Completeness of Gabor systems
- Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions
- Gabor frame sets of invariance: a Hamiltonian approach to Gabor frame deformations
- The mystery of Gabor frames
- An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a ``Weltkonstante-or-how Ramanujan split temperatures
- Wiener amalgam spaces for the fundamental identity of Gabor analysis
- Density and duality theorems for regular Gabor frames
- Extremals of determinants of Laplacians
- Convergence and summability of Gabor expansions at the Nyquist density
- Gabor analysis and algorithms. Theory and applications
- Poisson summation, the ambiguity function, and the theory of Weyl-Heisenberg frames
- Duality and biorthogonality for Weyl-Heisenberg frames
- Foundations of time-frequency analysis
- Minimal frame operator norms via minimal theta functions
- Some Weyl-Heisenberg frame bound calculations.
- Advances in Gabor analysis
- History and evolution of the density theorem for Gabor frames
- Symplectic geometry and quantum mechanics
- Harmonic analysis and applications. In Honor of John J. Benedetto
- Hamiltonian deformations of Gabor frames: first steps
- Symplectic Methods in Harmonic Analysis and in Mathematical Physics
- Minimal theta functions
- Harmonic Analysis in Phase Space. (AM-122)
- Density theorems for sampling and interpolation \\ in the Bargmann-Fock space
- Density theorems for sampling and interpolation in the Bargmann-Fock space I.
- A SHORT NOTE ON THE FRAME SET OF ODD FUNCTIONS
- Gabor Expansions of Signals: Computational Aspects and Open Questions
- An uncertainty principle related to the Poisson summation formula
- An introduction to frames and Riesz bases
This page was built for publication: Some curious results related to a conjecture of Strohmer and Beaver
