Landscapes of Time-Frequency Analysis

This contributed volume features chapters based on talks given at the second international conference titled Aspects of Time-Frequency Analysis (ATFA 19), held at Politecnico di Torino from June 25th to June 27th, 2019. Written by experts in harmonic analysis and its applications, these chapters provide a valuable overview of the state-of-the-art of this active area of research. New results are collected as well, making this a valuable resource for readers seeking to be brought up-to-date. Topics covered include:

• Signal analysis
• Quantum theory
• Modulation space theory
• Applications to the medical industry
• Wavelet transform theory
• Anti-Wick operators Landscapes of Time-Frequency Analysis: ATFA 2019 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 second international Aspects of Time-Frequency Analysis conference Explores state-of-the-art topics in time-frequency analysis, with chapters focusing on both comprehensive summaries as well as specific new results Chapter authors are leaders in the field of harmonic analysis and its many applications

Contenu
Radon transform: dual pairs and irreducible representations.- Data approximation with time-frequency invariant systems.- The Shearlet transform and Lizorkin spaces.- Time-frequency localization operators: state of the art.- Time-frequency analysis: what we know and what we don't.- Some notes about distribution frame multipliers.- Generalized Anti-Wick quantum states.- Signal analysis and quantum formalism. Quantizations with no Planck constant.- Quantization methods in ocular fundus imaging: analysis of retinal microvasculature.- A time-frequency analysis perspective on Feynman path integrals.