The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2017, which brought together experts in harmonic analysis and its applications. New connections between different but related areas were presented in the context of time-frequency analysis, encouraging future research and collaborations. Some of the topics covered include: Abstract harmonic analysis, Numerical harmonic analysis, Sampling theory, Compressed sensing, Mathematical signal processing, Pseudodifferential operators,…mehr
The chapters in this volume are based on talks given at the inaugural Aspects of Time-Frequency Analysis conference held in Turin, Italy from July 5-7, 2017, which brought together experts in harmonic analysis and its applications. New connections between different but related areas were presented in the context of time-frequency analysis, encouraging future research and collaborations. Some of the topics covered include:
Abstract harmonic analysis,
Numerical harmonic analysis,
Sampling theory,
Compressed sensing,
Mathematical signal processing,
Pseudodifferential operators, and
Applications of harmonic analysis to quantum mechanics. Landscapes of Time-Frequency Analysis will be of particular interest to researchers and advanced students working in time-frequency analysis and other related areas of harmonic analysis.
On the probabilistic Cauchy theory for nonlinear dispersive PDEs.- Endpoint results for Fourier integral operators on noncompact symmetric spaces.- Weak-type estimates for the metaplectic representation restricted to the shearing and dilation subgroup of SL(2, ).- On the Atomic Decomposition of Coorbit Spaces with Non-Integrable Kernel.- On the Purity and Entropy of Mixed Gaussian States.- On the continuity of -Wigner pseudodifferential operators.- Gabor expansions of signals: Computational aspects and open questions.- Lp continuity and microlocal properties for pseudodifferential operators.-Hyperbolic wavelet frames and multiresolution in the weighted Bergman spaces.- Infinite order pseudo-differential operators.- New progress on weighted Trudinger-Moser and Gagliardo-Nirenberg, and critical Hardy inequalities on stratified groups.- Continuity properties of multilinear localization operators on modulation spaces.- Semi-continuous convolution estimates on weakly periodic Lebesgue spaces.- Almost Diagonalization of Pseudodifferential Operators.
On the probabilistic Cauchy theory for nonlinear dispersive PDEs.- Endpoint results for Fourier integral operators on noncompact symmetric spaces.- Weak-type estimates for the metaplectic representation restricted to the shearing and dilation subgroup of SL(2,ℝ).- On the Atomic Decomposition of Coorbit Spaces with Non-Integrable Kernel.- On the Purity and Entropy of Mixed Gaussian States.- On the continuity of τ-Wigner pseudodifferential operators.- Gabor expansions of signals: Computational aspects and open questions.- Lp continuity and microlocal properties for pseudodifferential operators.-Hyperbolic wavelet frames and multiresolution in the weighted Bergman spaces.- Infinite order pseudo-differential operators.- New progress on weighted Trudinger-Moser and Gagliardo-Nirenberg, and critical Hardy inequalities on stratified groups.- Continuity properties of multilinear localization operators on modulation spaces.- Semi-continuous convolution estimates on weakly periodic Lebesgue spaces.- Almost Diagonalization of Pseudodifferential Operators.
On the probabilistic Cauchy theory for nonlinear dispersive PDEs.- Endpoint results for Fourier integral operators on noncompact symmetric spaces.- Weak-type estimates for the metaplectic representation restricted to the shearing and dilation subgroup of SL(2, ).- On the Atomic Decomposition of Coorbit Spaces with Non-Integrable Kernel.- On the Purity and Entropy of Mixed Gaussian States.- On the continuity of -Wigner pseudodifferential operators.- Gabor expansions of signals: Computational aspects and open questions.- Lp continuity and microlocal properties for pseudodifferential operators.-Hyperbolic wavelet frames and multiresolution in the weighted Bergman spaces.- Infinite order pseudo-differential operators.- New progress on weighted Trudinger-Moser and Gagliardo-Nirenberg, and critical Hardy inequalities on stratified groups.- Continuity properties of multilinear localization operators on modulation spaces.- Semi-continuous convolution estimates on weakly periodic Lebesgue spaces.- Almost Diagonalization of Pseudodifferential Operators.
On the probabilistic Cauchy theory for nonlinear dispersive PDEs.- Endpoint results for Fourier integral operators on noncompact symmetric spaces.- Weak-type estimates for the metaplectic representation restricted to the shearing and dilation subgroup of SL(2,ℝ).- On the Atomic Decomposition of Coorbit Spaces with Non-Integrable Kernel.- On the Purity and Entropy of Mixed Gaussian States.- On the continuity of τ-Wigner pseudodifferential operators.- Gabor expansions of signals: Computational aspects and open questions.- Lp continuity and microlocal properties for pseudodifferential operators.-Hyperbolic wavelet frames and multiresolution in the weighted Bergman spaces.- Infinite order pseudo-differential operators.- New progress on weighted Trudinger-Moser and Gagliardo-Nirenberg, and critical Hardy inequalities on stratified groups.- Continuity properties of multilinear localization operators on modulation spaces.- Semi-continuous convolution estimates on weakly periodic Lebesgue spaces.- Almost Diagonalization of Pseudodifferential Operators.
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