Trends in Mathematics

Harmonic and Complex Analysis and its Applications

Editors: Vasiliev, Alexander (Ed.)

  • Representative collection of modern developments in the subject written by leading specialists and members of the Steering Committee of the HCAA network which united 27 universities and 51 senior researchers across the European Research Area
  • Acessible for both senior researchers and Ph.D. students
  • Highlights the results and perspectives of the future development created within the network and in collaboration with other analogous organizations  
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  • ISBN 978-3-319-01806-5
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Hardcover $169.00
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  • ISBN 978-3-319-01805-8
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Softcover $169.00
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  • ISBN 978-3-319-37887-9
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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.

Table of contents (7 chapters)

  • Function Spaces of Polyanalytic Functions

    Abreu, Luis Daniel (et al.)

    Pages 1-38

  • Classical and Stochastic Löwner–Kufarev Equations

    Bracci, Filippo (et al.)

    Pages 39-134

  • The Schwarz Lemma: Rigidity and Dynamics

    Elin, Mark (et al.)

    Pages 135-230

  • Coorbit Theory and Bergman Spaces

    Feichtinger, H. G. (et al.)

    Pages 231-259

  • Quadrature Domains and Their Two-Phase Counterparts

    Gardiner, Stephen J. (et al.)

    Pages 261-285

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-319-01806-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-319-01805-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-3-319-37887-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Harmonic and Complex Analysis and its Applications
Editors
  • Alexander Vasiliev
Series Title
Trends in Mathematics
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-01806-5
DOI
10.1007/978-3-319-01806-5
Hardcover ISBN
978-3-319-01805-8
Softcover ISBN
978-3-319-37887-9
Series ISSN
2297-0215
Edition Number
1
Number of Pages
VIII, 358
Number of Illustrations and Tables
36 b/w illustrations, 11 illustrations in colour
Topics