Harmonic and Complex Analysis and its Applications

  • Alexander Vasil'ev

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Luis Daniel Abreu, Hans G. Feichtinger
    Pages 1-38
  3. Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal, Alexander Vasil’ev
    Pages 39-134
  4. Mark Elin, Fiana Jacobzon, Marina Levenshtein, David Shoikhet
    Pages 135-230
  5. H. G. Feichtinger, M. Pap
    Pages 231-259
  6. Stephen J. Gardiner, Tomas Sjödin
    Pages 261-285
  7. Björn Gustafsson
    Pages 287-323

About this book


This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.


Bergman spaces atomic decomposition conformal map fluid mechanics quadrature domain signal processing

Editors and affiliations

  • Alexander Vasil'ev
    • 1
  1. 1.Department of MathematicsUniversity of BergenBergenNorway

Bibliographic information