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Harmonic and Complex Analysis and its Applications
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Catalogue Information
Field name
Details
Dewey Class
512.44 (DDC 23)
Title
Harmonic and Complex Analysis and its Applications ([Ebook]) / edited by Alexander Vasil'ev.
Author
Vasil'ev, Alexander
Other name(s)
SpringerLink (Online service)
Publication
Cham Springer International Publishing/Birkhäuser 2014.
Physical Details
VIII, 358 p. 47 illus., 11 illus. in color. : online resource.
ISBN
9783319018065
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-01806-5
Links to Related Works
Subject References:
Algebra
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Commutative Rings and Algebras
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Functional Analysis
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Functions of a Complex Variable
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Functions of complex variables
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Non-associative Rings and Algebras
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Potential Theory
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Potential theory (Mathematics)
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Authors:
Vasil'ev, Alexander
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Corporate Authors:
SpringerLink (Online service)
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Series:
Trends in mathematics
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Classification:
512.44 (DDC 23)
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