Landscapes of Time-Frequency Analysis

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.

  Presents select talks from the first-annual Aspects of Time-Frequency Analysis conference Explores interesting connections among a variety of applications of harmonic analysis and pseudodifferential operators in the context of time-frequency analysis Chapter authors are leaders in the field of harmonic analysis and its applications

  Inhalt
  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.