TY - BOOK AU - AU - ED - SpringerLink (Online service) TI - Topics in Analysis and its Applications T2 - NATO Science Series II: Mathematics, Physics and Chemistry, SN - 9781402021282 AV - QA331-355 U1 - 515.9 23 PY - 2005/// CY - Dordrecht PB - Springer Netherlands KW - Mathematics KW - Functions of complex variables KW - Operator theory KW - Differential equations, partial KW - Global differential geometry KW - Functions of a Complex Variable KW - Several Complex Variables and Analytic Spaces KW - Partial Differential Equations KW - Operator Theory KW - Differential Geometry N1 - Shilov Boundary for Normed Algebras -- BMO-Mappings in the Plane -- Harmonic Forms on Non-Orientable Surfaces -- Periodic Fatou Components and Singularities of the Inverse Function -- On the Normality of Topological Target Manifolds for Riemann-Hilbert Problems -- Geometric Aspects of Generalized Analytic Functions -- The Riemann-Hilbert Boundary Value Problem on a Cut Plane -- On the Logarithmic Derivative of Meromorphic Functions -- Methods for Studying Level Sets of Smooth Enough Functions -- Gamma-Lines of Polynomials and a Problem by Erdȵs-Herzog-Piranian -- A Method for Studying Oscillations of Nonlinear Differential Equations. Applications to Some Equations in Biology and Economics -- Counting Points of Semi-Algebraic Subsets -- Behaviour at Infinity of Polynomials of Two Variables -- On Some Properties of Degenerate Elliptic Systems of Partial Differential Equations -- Formulas for Derivatives of Solutions of the; ZDB-2-CMS N2 - Most topics dealt with here deal with complex analysis of both one and several complex variables. Several contributions come from elasticity theory. Areas covered include the theory of p-adic analysis, mappings of bounded mean oscillations, quasiconformal mappings of Klein surfaces, complex dynamics of inverse functions of rational or transcendental entire functions, the nonlinear Riemann-Hilbert problem for analytic functions with nonsmooth target manifolds, the Carleman-Bers-Vekua system, the logarithmic derivative of meromorphic functions, G-lines, computing the number of points in an arbitrary finite semi-algebraic subset, linear differential operators, explicit solution of first and second order systems in bounded domains degenerating at the boundary, the Cauchy-Pompeiu representation in L2 space, strongly singular operators of Calderon-Zygmund type, quadrature solutions to initial and boundary-value problems, the Dirichlet problem, operator theory, tomography, elastic displacements and stresses, quantum chaos, and periodic wavelets UR - http://dx.doi.org/10.1007/1-4020-2128-3 ER -