Landscapes of Time-Frequency Analysis (eBook)

Paolo Boggiatto, Elena Cordero, Maurice de Gosson, Hans G. Feichtinger, Fabio Nicola, Alessandro Oli (Herausgeber)

eBook Download: PDF

2019 | 1. Auflage
XVIII, 347 Seiten
Birkhäuser Basel (Verlag)
978-3-030-05210-2 (ISBN)

Infos

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, 2018, 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.

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,ℝ).- On the Atomic Decomposition of Coorbit Spaces with Non-Integrable Kernel.- On the Purity and Entropy of Mixed Gaussian States.- On the continuity of τ-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.

Produkt-Details

• Erscheint lt. Verlag: 30.1.2019
• Reihe/Serie: Applied and Numerical Harmonic Analysis
• Reihe/Serie: Applied and Numerical Harmonic Analysis
• Zusatzinfo: XVIII, 347 p. 4 illus.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: Applications of harmonic analysis to quantum mechanics • compressed sensing • fourier analysis • Fourier integral operators • Gabor Frames • Harmonic Analysis • Mathematical signal processing • Modulation spaces • Partial differential equations • pseudodifferential operators • Sampling theory • time-frequency analysis
• ISBN-10: 3-030-05210-9 / 3030052109
• ISBN-13: 978-3-030-05210-2 / 9783030052102