Topics in Analysis and its Applications [electronic resource] / edited by G. A. Barsegian, H. G. W. Begehr.

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 \bar \partial -Equation in the Ball -- On Some Complex Differential and Singular Integral Operators -- Boundary and Initial Value Problems for Higher Order PDEs in Clifford Analysis -- On Unique Solvability of the Dirichlet Problem for One Class of Properly Elliptic Equations -- Dirichlet Problems with Nonsmooth Boundary -- Dirichlet Problem in the Half-Plane for RO-Varying Weight Functions -- About One Class of Volterra Type Linear Integral Equations with an Interior Fixed Singular or Super-Singular Point -- The Method of Discrete Singularities of Solutions of Singular Integral Equations with Unmoved Singularity -- Localization Operators, Wigner Transforms and Paraproducts -- The Flight of an Aircraft Along a Given Trajectory and Optimal Flight Control -- On Mathematical Problems of Two-Dimensional Tomography -- On a Mixed Problem for a Composite Plane Weakened by arc-Type Cracks -- Solution of the Two-Dimensional Magnetoelastic Lamb Problem -- On an Eigenvalue Problem for the Anisotropic Strip -- On Singular Perturbed Equations of Thin Bodies -- Exactly Solvable Models of Stochastic Quantum Mechanics within the Framework of Langevin-Schroedinger Type Equations -- Generating Functions and Wavelet-Like Decompositions.

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.

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