Operator-Related Function Theory and Time-Frequency Analysis

The Abel Symposium 2012

  • Karlheinz Gröchenig
  • Yurii Lyubarskii
  • Kristian Seip

Part of the Abel Symposia book series (ABEL, volume 9)

About these proceedings


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.


Cantor sets equilibrium statistics multifractional analysis non-uniform sampling signal processing spectral function theory weighted approximation

Editors and affiliations

  • Karlheinz Gröchenig
    • 1
  • Yurii Lyubarskii
    • 2
  • Kristian Seip
    • 3
  1. 1.University of Vienna, Faculty of MathematicsViennaAustria
  2. 2.Norwegian University of Science and Technology, Dept of Mathematical SciencesTrondheimNorway
  3. 3.Norwegian University of Science and Technology, Dept of Mathematical SciencesTrondheimNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-08557-9
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-08556-2
  • Online ISBN 978-3-319-08557-9
  • Series Print ISSN 2193-2808
  • About this book
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