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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Preface. Shilov boundary for normed algebras; A. Escassut, N.M. Netti. BMO-mappings in the plane; C.A. Cazacu, V. Stanciu. Harmonic forms on non-orientable surfaces; A. Alonso, A. Fernández, J. Pérez. Periodic Fatou components and singularities of the inverse function; W. Bergweiler. On the normality of topological target manifolds for Riemann-Hilbert problems; E. Wegert, B. Semmler. Geometric aspects of generalized analytic functions; G. Giorgadze. The Riemann-Hilbert boundary value problem on a cut plane; N. Manjavidze. On the logarithmic derivative of meromorphic functions; A.A. Mokhon'ko, A.Z. Mokhon'ko. Methods for studying level sets of smooth enough functions; G.A. Barsegian, G.A. Sukiasyan. Gamma-lines of polynomials and a problem by Erdös-Herzog-Piranian.G.A. Barsegian. A method for studying oscillations of non-linear differential equations. Applications to some equations in biology and economics; K. Barseghyan, G.A. Barsegian. Counting points of semi-algebraic subsets; T. Aliashvili. Behaviour at infinity of polynomials of two variables; H.G. Ghazaryan, V.N. Margaryan. On some properties of degenerate elliptic systems of partial differential eqations; A. Dzhuraev. Formulas for derivatives of solutions of the DBAR-equation in the ball; A.I. Petrosyan. On some complex differential and singular integral operators; H. Begehr, A. Dzhuraev. Boundary and initial value problems for higher order PDEs in Clifford analysis; E. Obolashvili. On unique solvability of the Dirichlet problem for one class of properly elliptic equations; A.O. Babayan. Dirichlet problems in the half plane for RO-varying weight functions; H. Hairapetian. About one class of Volterra type linear integral equations with an interior fixed singular or super-singular point; N.Rajabov. The method of discrete singularities of solutions of singular integral equations with unmoved singularity; A. Sahakyan. Localization operators, Wigner transforms and paraproducts; M.W. Wong. The flight of an aircraft along a given trajectory and optimal flight control; N.E. Tovmasyan. On mathematical problems of two-dimensional tomography; A. Vagarshakyan. On a mixed problem for a composite plane weakened by arc-type cracks; V.N. Hakobyan, L.L. Dashtoyan. Solution of the two-dimensional magnetoelastic Lamb problem; G.Y. Baghdasaryan, Z.N. Danoyan, M.A. Mikilyan. On an eigenvalue problem for the anisotropic strip; M. Aghalovyan. On singular perturbed equations of thin bodies; L. Aghalovyan. Exactly solvable models of stochastic quantum mechanics within the framework of Langevin-Schrödinger type equations; A.S. Gevorkyan. Generating functions and wavelet-like decompositions; A. Nersessian. Index of Names. Index of Subjects.
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