Landscapes of Time-Frequency Analysis

ATFA 2019
1. Auflage 2020
ISBN: 978-3-030-56004-1
Verlag: Springer International Publishing

Buch, Englisch, 208 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 518 g

Reihe: Applied and Numerical Harmonic 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.

Zielgruppe

Research

Autoren/Hrsg.

Boggiatto, Paolo

Bruno, Tommaso

Cordero, Elena

Vallarino, Maria

Feichtinger, Hans G.

Nicola, Fabio

Oliaro, Alessandro

Tabacco, Anita

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.