Harmonic and Complex Analysis and its Applications

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 communitie...

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Bibliographic Details
Other Authors: Vasil'ev, Alexander (Editor)
Format: eBook
Language:English
Published: Cham Birkhäuser 2014, 2014
Edition:1st ed. 2014
Series:Trends in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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300 |a VIII, 358 p. 47 illus., 11 illus. in color  |b online resource 
505 0 |a 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 Krichever–Novikov Type Algebras and Beyond 
653 |a Functional analysis 
653 |a Commutative algebra 
653 |a Commutative Rings and Algebras 
653 |a Functions of complex variables 
653 |a Functional Analysis 
653 |a Nonassociative rings 
653 |a Potential theory (Mathematics) 
653 |a Functions of a Complex Variable 
653 |a Commutative rings 
653 |a Non-associative Rings and Algebras 
653 |a Potential Theory 
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520 |a 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