Landscapes of Time-Frequency Analysis

ATFA 2019

Paolo Boggiatto, Tommaso Bruno, Elena Cordero, Hans G. Feichtinger, Fabio Nicola, Alessandro Oliaro, Anita Tabacco, Maria Vallarino (Herausgeber)

Buch | Hardcover

XXII, 208 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-56004-1 (ISBN)

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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.

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.

Erscheinungsdatum	31.12.2020
Reihe/Serie	Applied and Numerical Harmonic Analysis
Zusatzinfo	XXII, 208 p. 8 illus., 5 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	518 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	affine group • Anti-Wick operators • Aspects of Time-Frequency Analysis • ATFA 2019 • compact operators • Covariance • Density Operator • Eckart-Young theorem • Gabor Frames • Integral quantization • inversion formula • Lizorkin spaces • Localization operators • Modulation spaces • pseudodifferential operators • Retina imaging analysis • rigged Hilbert spaces • Shearlet transform • time-frequency analysis • wavelet frames
ISBN-10	3-030-56004-X / 303056004X
ISBN-13	978-3-030-56004-1 / 9783030560041
Zustand	Neuware