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Operator-Related Function Theory and Time-Frequency Analysis : The Abel Symposium 2012 / edited by Karlheinz Gröchenig, Yurii Lyubarskii, Kristian Seip.

Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online

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Format:
Book
Contributor:
Gröchenig, Karlheinz, Editor.
Lyubarskii, Yurii, Editor.
Seip, Kristian., Editor.
Series:
Abel Symposia, 2197-8549 ; 9
Language:
English
Subjects (All):
Dynamics.
Fourier analysis.
Differential equations.
Approximation theory.
Computer vision.
Signal processing.
Dynamical Systems.
Fourier Analysis.
Differential Equations.
Approximations and Expansions.
Computer Vision.
Signal, Speech and Image Processing.
Local Subjects:
Dynamical Systems.
Fourier Analysis.
Differential Equations.
Approximations and Expansions.
Computer Vision.
Signal, Speech and Image Processing.
Physical Description:
1 online resource (204 p.)
Edition:
1st ed. 2015.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2015.
Language Note:
English
Summary:
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.
Contents:
1 P. Abry, S. Jaffard, and H. Wendt: A bridge between geometric measure theory and signal processing: Multifractal analysis
2 D. Batenkov and Y. Yomdin: Local and global geometry of Prony systems and Fourier reconstruction of piecewise-smooth functions
3 H. Feichtinger: Elements of postmodern harmonic analysis
4 G. Kozma and A. Olevskii: Singular distributions and symmetry of the spectrum
5 I. Laba: Recent progress on Favard length estimates for planar Cantor sets
6 A. Poltoratski: Bernstein's problem on weighted polynomial approximation
7 J. Sjöstrand: Return to equilibrium, non-self-adjointness and symmetries, recent results with M. Hitrik and F. Hérau
8 S. Treil: A remark on two weight estimates for positive dyadic operators.
Notes:
Description based upon print version of record.
Includes bibliographical references at the end of each chapters.
ISBN:
3-319-08557-3
OCLC:
897115920

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