Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.
Author(s): Hélène Airault (auth.), Björn Gustafsson, Alexander Vasil’ev (eds.)
Series: Trends in Mathematics
Edition: 1
Publisher: Birkhäuser Basel
Year: 2009
Language: English
Pages: 514
Tags: Analysis;Mathematical Methods in Physics;Functions of a Complex Variable;Applications of Mathematics
Front Matter....Pages i-viii
From Diff ( S 1 ) to Univalent Functions. Cases of Degeneracy....Pages 1-19
Poincaré—Steklov Integral Equations and Moduli of Pants....Pages 21-48
Generalized Hamilton—Jacobi Equation and Heat Kernel on Step Two Nilpotent Lie Groups....Pages 49-76
Numerical Scheme for Laplacian Growth Models Based on the Helmholtz—Kirchhoff Method....Pages 77-106
Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function....Pages 107-114
Nevanlinna Domains in Problems of Polyanalytic Polynomial Approximation....Pages 115-129
Potential Theory in Denjoy Domains....Pages 131-142
Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk....Pages 143-166
Rings and Lipschitz Continuity of Quasiconformal Mappings....Pages 167-186
A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one....Pages 187-192
Scattering from Sparse Potentials: a Deterministic Approach....Pages 193-204
Application of ATS in a Quantum-optical Model....Pages 205-210
Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas....Pages 211-232
Fourier Transforms of UD Integrals....Pages 233-335
Fredholm Eigenvalues of Jordan Curves: Geometric, Variational and Computational Aspects....Pages 337-347
A Note on Life-span of Classical Solutions to the Hele—Shaw Problem....Pages 349-368
The Fourier Transforms of General Monotone Functions....Pages 369-376
Traces of Hörmander Algebras on Discrete Sequences....Pages 377-395
Resonance Dynamics and Decoherence....Pages 397-408
Ramified Integrals, Casselman Phenomenon, and Holomorphic Continuations of Group Representations....Pages 409-426
The Stability of Solitary Waves of Depression....Pages 427-439
Singular and Tangent Slit Solutions to the Löwner Equation....Pages 441-453
A Remark on Amoebas in Higher Codimensions....Pages 455-463
Quadratic Differentials and Weighted Graphs on Compact Surfaces....Pages 465-471
Riesz Transforms and Rectifiability....Pages 473-505
....Pages 507-514
