| Description |
1 online resource |
| Series |
Trends in mathematics |
|
Trends in mathematics.
|
| Contents |
Function Spaces of Polyanalytic Functions / Luis Daniel Abreu and Hans G. Feichtinger -- Classical and Stochastic Löwner-Kufarev Equations / Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal and Alexander Vasil'ev -- The Schwarz Lemma: Rigidity and Dynamics / Mark Elin, Fiana Jacobzon, Marina Levenshtein and David Shoikhet -- Coorbit Theory and Bergman Spaces / H.G. Feichtinger and M. Pap -- Quadrature Domains and Their Two-Phase Counterparts / Stephen J. Gardiner and Tomas Sjödin -- Exponential Transforms, Resultants and Moments / Björn Gustafsson -- From the Virasoro Algebra to Krichever-Novikov Type Algebras and Beyond / Martin Schlichenmaier |
| Summary |
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 |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Harmonic analysis.
|
|
Functions of complex variables.
|
|
Fourier Analysis
|
|
MATHEMATICS -- Calculus.
|
|
MATHEMATICS -- Mathematical Analysis.
|
|
Functions of complex variables
|
|
Harmonic analysis
|
| Form |
Electronic book
|
| Author |
Vasilʹev, Alexander, 1962- editor.
|
| ISBN |
9783319018065 |
|
331901806X |
|
