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.
Inhaltsverzeichnis
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. -
L
p 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.
