Ebook: Analysis and Mathematical Physics
- Tags: Analysis, Mathematical Methods in Physics, Functions of a Complex Variable, Applications of Mathematics
- Series: Trends in Mathematics
- Year: 2009
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-viii
Poincar?—Steklov Integral Equations and Moduli of Pants....Pages 1-19
Generalized Hamilton—Jacobi Equation and Heat Kernel on Step Two Nilpotent Lie Groups....Pages 21-48
Numerical Scheme for Laplacian Growth Models Based on the Helmholtz—Kirchhoff Method....Pages 49-76
Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function....Pages 77-106
Nevanlinna Domains in Problems of Polyanalytic Polynomial Approximation....Pages 107-114
Potential Theory in Denjoy Domains....Pages 115-129
Carath?odory Convergence of Immediate Basins of Attraction to a Siegel Disk....Pages 131-142
Rings and Lipschitz Continuity of Quasiconformal Mappings....Pages 143-166
A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one....Pages 167-186
Scattering from Sparse Potentials: a Deterministic Approach....Pages 187-192
Application of ATS in a Quantum-optical Model....Pages 193-204
Geometry of Carnot-Carath?odory Spaces, Differentiability, Coarea and Area Formulas....Pages 205-210
Fourier Transforms of UD Integrals....Pages 211-232
Fredholm Eigenvalues of Jordan Curves: Geometric, Variational and Computational Aspects....Pages 233-335
A Note on Life-span of Classical Solutions to the Hele—Shaw Problem....Pages 337-347
The Fourier Transforms of General Monotone Functions....Pages 349-368
Traces of H?rmander Algebras on Discrete Sequences....Pages 369-376
Resonance Dynamics and Decoherence....Pages 377-395
Ramified Integrals, Casselman Phenomenon, and Holomorphic Continuations of Group Representations....Pages 397-408
The Stability of Solitary Waves of Depression....Pages 409-426
Singular and Tangent Slit Solutions to the L?wner Equation....Pages 427-439
A Remark on Amoebas in Higher Codimensions....Pages 441-453
Quadratic Differentials and Weighted Graphs on Compact Surfaces....Pages 455-463
Riesz Transforms and Rectifiability....Pages 465-471
....Pages 473-505