Harmonic and Complex Analysis and its Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Vasil'ev, Alexander (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
• Series: Trends in Mathematics
• Subjects: Mathematics.; Commutative algebra.; Commutative rings.; Nonassociative rings.; Rings (Algebra).; Functional analysis.; Functions of complex variables.; Potential theory (Mathematics).; Commutative Rings and Algebras.; Non-associative Rings and Algebras.; Functions of a Complex Variable.; Potential Theory.; Functional Analysis.

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...

Table of Contents:

• 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.