Operator-Related Function Theory and Time-Frequency Analysis: The Abel Symposium 2012
β Scribed by Karlheinz GrΓΆchenig, Yurii Lyubarskii, Kristian Seip (eds.)
- Publisher
- Springer International Publishing
- Year
- 2015
- Tongue
- English
- Leaves
- 204
- Series
- Abel Symposia 9
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis; and the profound interplay between them.
Among the original contributions and overview lectures gathered here are a paper presenting multifractal analysis as a bridge between geometric measure theory and signal processing; local and global geometry of Prony systems and Fourier reconstruction of piecewise-smooth functions; Bernstein's problem on weighted polynomial approximation; singular distributions and symmetry of the spectrum; and many others.
Offering a selection of the latest and most exciting results obtained by world-leading researchers, the book will benefit scientists working in Harmonic and Complex Analysis, Mathematical Physics and Signal Processing.
β¦ Table of Contents
Front Matter....Pages i-xii
A Bridge Between Geometric Measure Theory and Signal Processing: Multifractal Analysis....Pages 1-56
Local and Global Geometry of Prony Systems and Fourier Reconstruction of Piecewise-Smooth Functions....Pages 57-76
Elements of Postmodern Harmonic Analysis....Pages 77-105
Singular Distributions and Symmetry of the Spectrum....Pages 107-116
Recent Progress on Favard Length Estimates for Planar Cantor Sets....Pages 117-145
Bernsteinβs Problem on Weighted Polynomial Approximation....Pages 147-171
Return to Equilibrium, Non-self-adjointness and Symmetries, Recent Results with M. Hitrik and F. HΓ©rau....Pages 173-183
A Remark on Two Weight Estimates for Positive Dyadic Operators....Pages 185-195
β¦ Subjects
Dynamical Systems and Ergodic Theory; Fourier Analysis; Partial Differential Equations; Approximations and Expansions; Image Processing and Computer Vision; Signal, Image and Speech Processing
π SIMILAR VOLUMES
<p>Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at t
<p><p>Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given a