ESI12
Modern Methods of Time-Frequency Analysis II
September 10th to December 15th, 2012
Erwin Schroedinger Institute (Univ. Vienna)
 

Workshop: [W1] Applied Coorbit theoryá
organized by Stephan Dahlke and Hans G. Feichtinger
17-21 SEP 2012


Coorbit theory is by now a well-established tool in applied harmonic analysis. Based on group representations, this theory provides a unified approach that collects many different transforms such as the wavelet- and the Gabor-transform under one roof. Furthermore, the coorbit approach provides canonical smoothness spaces, the coorbit spaces. It is one of the aims of this workshop to strive for a complete classification of all possible coorbit spaces.

Moreover, the coorbit theory provides atomic decompositions for the coorbit spaces by means of stable (Banach) frame decompositions. In many cases, the coorbit spaces coincide with classical smoothness spaces such as Besov and modulation spaces. For these spaces, many different atomic and molecular decompositions exist. Therefore, an additional aim of this workshop is to clarify the relations of these different decomposition techniques as far as possible

In recent years, also the relations of coorbit theory with operator equations has become a center of attention. E.g., the theory of coorbit atoms and molecules can be exploited to clarify the mapping properties of operators as well as their localization properties. Moreover, there are approaches to use the coorbit ideas also for the numerical treatment of operator equations. Therefore, there is an urgent need for fast algorithms etc. It is an additional goal of this workshop to discuss the state of the art in computational coorbit theory as well as the further perspectives.

Therefore, the topics to be discussed include (but are not limited to)
  • Classification of Coorbit families (groups, representations, etc.)
  • Coorbit spaces, discretization, atomic decomposition, molecular
  • Toeplitz operators, Anti-Wick and Berezin Calculus
  • Operators described using atomic decompositions, localization theory
  • Numerics of coorbit spaces, computational (and storage) aspects...
  • group-free coorbit theory (sections, alpha-modulation spaces),....

see » program


Participants:
  1. Luis Daniel Abreu (University of Coimbra) Portugal
  2. Dominik Bayer (Acoustics Research Institute, Austrian Academy of Sciences) AUSTRIA
  3. Jens Gerlach Christensen (Tufts University) UNITED STATES
  4. Stephan Dahlke (University of Marburg) GERMANY
  5. Filippo De Mari (DIMA) ITALY
  6. Ernesto De Vito (DIMA) ITALY
  7. Hans G. Feichtinger (NuHAG, Univ. Vienna) AUSTRIA
  8. Hartmut Fuehr (RWTH Aachen) GERMANY
  9. Philipp Grohs (ETH Zurich) SWITZERLAND
  10. GÚrard Kerkyacharian (UniversitÚ Denis Diderot) FRANCE
  11. George Kyriazis (University of Cyprus) CYPRUS
  12. Morten Nielsen (Aalborg University) DENMARK
  13. Margit Pap (Univ. Pecs and NuHAG )
  14. Pencho Petrushev (University of South Carolina) USA
  15. David Rottensteiner (Imperial College London) UK
  16. Yoshihiro Sawano (Kyoto University) JAPAN
  17. Benjamin Scharf (University Jena) GERMANY
  18. Catherine Schnackers (RWTH Aachen) GERMANY
  19. Gabriele Steidl (TU Kaiserslautern) GERMANY
  20. Gerd Teschke (Neubrandenburg University of Applied Sciences) GERMANY
  21. Tino Ullrich (Hausdorff Center for Mathematics) GERMANY
  22. Stefano Vigogna (UniversitÓ degli Studi di Genova) ITALY
  23. Jan Vybiral (TU-Berlin) Germany
  24. Wen Yuan (Beijing Normal University) CHINA

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