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Harmonic and Complex Analysis and its Applications

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This volume highlights the main results of the research performed within the network 'Harmonic and Complex Analysis and its A... Weiterlesen
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Beschreibung

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.



Inhalt
L.D. Abreu, H.G. Feichtinger: Function spaces of polyanalytic functions.- F. Bracci, M.D. Contreras, S. Díaz-Madrigal,A. Vasil'ev: Classical and stochastic Löwner-Kufarev equations.- M. Elin, F. Jacobzon, M. Levenshtein, D. Shoikhet: The Schwarz Lemma. Rigidity and Dynamics.- H.G. Feichtinger, M. Pap: Coorbit theory and Bergman spaces.- S.J. Gardiner, T. Sjödin: Quadrature domains and their two-phase counterparts.- B. Gustafsson: Exponential transforms, resultants and moments.- M. Schlichenmaier: From the Virasoro Algebra to KricheverNovikov Type Algebras and Beyond.

Produktinformationen

Titel: Harmonic and Complex Analysis and its Applications
Editor:
EAN: 9783319018065
ISBN: 978-3-319-01806-5
Digitaler Kopierschutz: Wasserzeichen
Format: E-Book (pdf)
Herausgeber: Birkhäuser
Genre: Grundlagen
Anzahl Seiten: 358
Veröffentlichung: 09.11.2013
Jahr: 2013
Untertitel: Englisch
Dateigrösse: 4.0 MB

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