Analysis and Mathematical Physics (eBook)

From Diff (S 1) to Univalent Functions. Cases of Degeneracy.- Poincaré—Steklov Integral Equations and Moduli of Pants.- Generalized Hamilton—Jacobi Equation and Heat Kernel on Step Two Nilpotent Lie Groups.- Bergen Lecture on -Neumann Problem.- Numerical Scheme for Laplacian Growth Models Based on the Helmholtz—Kirchhoff Method.- Gravitational Lensing by Elliptical Galaxies, and the Schwarz Function.- Nevanlinna Domains in Problems of Polyanalytic Polynomial Approximation.- Potential Theory in Denjoy Domains.- Carathéodory Convergence of Immediate Basins of Attraction to a Siegel Disk.- Rings and Lipschitz Continuity of Quasiconformal Mappings.- A Theoretical Algorithm to get a Schottky Uniformization from a Fuchsian one.- Scattering from Sparse Potentials: a Deterministic Approach.- Application of ATS in a Quantum-optical Model.- Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas.- Fourier Transforms of UD Integrals.- Fredholm Eigenvalues of Jordan Curves: Geometric, Variational and Computational Aspects.- A Note on Life-span of Classical Solutions to the Hele—Shaw Problem.- The Fourier Transforms of General Monotone Functions.- Traces of Hörmander Algebras on Discrete Sequences.- Resonance Dynamics and Decoherence.- Ramified Integrals, Casselman Phenomenon, and Holomorphic Continuations of Group Representations.- The Stability of Solitary Waves of Depression.- Singular and Tangent Slit Solutions to the Löwner Equation.- A Remark on Amoebas in Higher Codimensions.- Quadratic Differentials and Weighted Graphs on Compact Surfaces.- Riesz Transforms and Rectifiability.