Weak-Type Estimates for the Metaplectic Representation Restricted to the Shearing and Dilation Subgroup of $$SL(2,\mathbb {R})$$

DOI10.1007/978-3-030-05210-2_3zbMath1421.43002OpenAlexW2914725772MaRDI QIDQ5230192

Alessandra Cauli

Publication date: 21 August 2019

Published in: Landscapes of Time-Frequency Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-05210-2_3

zbMATH Keywords

symplectic groupHeisenberg grouprepresentationStrichartz estimatemodulation space\(\mathrm{SL}(2, \mathbb{R})\)

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) Harmonic analysis and PDEs (42B37)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A mathematical introduction to compressive sensing
• Generalized sampling reconstruction from Fourier measurements using compactly supported shearlets
• Some new Strichartz estimates for the Schrödinger equation
• Convergence analysis of the finite section method and Banach algebras of matrices
• CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
• Extensions of compressed sensing
• Wavelets on the interval and fast wavelet transforms
• Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors
• Foundations of time-frequency analysis
• Data assimilation and sampling in Banach spaces
• Triangular subgroups of \(Sp(d,\mathbb R)\) and reproducing formulae
• Strichartz estimates for the metaplectic representation
• On the stable sampling rate for binary measurements and wavelet reconstruction
• On the approximation of spectra of linear operators on Hilbert spaces
• Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation
• Analytic features of reproducing groups for the metaplectic representation
• Structure dependent sampling in compressed sensing: theoretical guarantees for tight frames
• Pseudospectral Fourier reconstruction with the modified inverse polynomial reconstruction method
• Non-uniform recovery guarantees for binary measurements and infinite-dimensional compressed sensing
• Analysis of the affine transformations of the time-frequency plane
• A generalized sampling theory without band-limiting constraints
• A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics
• The Wigner Transform
• On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators
• Generalized metaplectic operators and the Schrödinger equation with a potential in the Sjöstrand class
• THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
• Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
• Greed is Good: Algorithmic Results for Sparse Approximation
• Just relax: convex programming methods for identifying sparse signals in noise
• Dimensional upper bounds for admissible subgroups for the metaplectic representation
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Exploiting Structure in Wavelet-Based Bayesian Compressive Sensing
• Analyzing Weighted $\ell_1$ Minimization for Sparse Recovery With Nonuniform Sparse Models
• Compressive Imaging Using Approximate Message Passing and a Markov-Tree Prior
• The STOne Transform: Multi-Resolution Image Enhancement and Compressive Video
• Linear reconstructions and the analysis of the stable sampling rate
• Optimal Compressive Imaging of Fourier Data
• Rényi Information Dimension: Fundamental Limits of Almost Lossless Analog Compression
• Sparsity and incoherence in compressive sampling
• Information-Theoretically Optimal Compressed Sensing via Spatial Coupling and Approximate Message Passing
• Kronecker Compressive Sensing
• Strichartz estimates in Wiener amalgam spaces for the Schrödinger equation
• Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ ¹ minimization
• GENERAL FRAMEWORK FOR CONSISTENT SAMPLING IN HILBERT SPACES
• Compressed sensing

This page was built for publication: Weak-Type Estimates for the Metaplectic Representation Restricted to the Shearing and Dilation Subgroup of $$SL(2,\mathbb {R})$$