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.
Table des matières
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.
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