Topics in analysis and its applications

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...

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Auteurs principaux : Barsegian Grigor A. (Directeur de publication), Begehr Heinrich Gottfried Werner (Directeur de publication), NATO Advanced Research Workshop on Topics in Analysis and its Applications
Collectivités auteurs : NATO Advanced Research Workshop on Topics in Analysis and its Applications 2002 Yerevan, Armenia (Auteur), Organisation du traité de l'Atlantique nord Division des affaires scientifiques (Collectivité éditrice)
Format : Livre
Langue : anglais
Titre complet : Topics in analysis and its applications / edited by G. A. Barsegian, H. G. W. Begehr
Édition : 1st ed. 2005.
Publié : Dordrecht : Springer Netherlands , [20..]
Cham : Springer Nature
Collection : NATO science series Series II Mathematics, physics, and chemistry ; 147
Accès en ligne : Accès Nantes Université
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Condition d'utilisation et de reproduction : Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017
Contenu : 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 Erdös-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
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Documents associés : Autre format: Topics in Analysis and its Applications
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327 1 |a Shilov Boundary for Normed Algebras  |a BMO-Mappings in the Plane  |a Harmonic Forms on Non-Orientable Surfaces  |a Periodic Fatou Components and Singularities of the Inverse Function  |a On the Normality of Topological Target Manifolds for Riemann-Hilbert Problems  |a Geometric Aspects of Generalized Analytic Functions  |a The Riemann-Hilbert Boundary Value Problem on a Cut Plane  |a On the Logarithmic Derivative of Meromorphic Functions  |a Methods for Studying Level Sets of Smooth Enough Functions  |a Gamma-Lines of Polynomials and a Problem by Erdös-Herzog-Piranian  |a A Method for Studying Oscillations of Nonlinear Differential Equations. Applications to Some Equations in Biology and Economics  |a Counting Points of Semi-Algebraic Subsets  |a Behaviour at Infinity of Polynomials of Two Variables  |a On Some Properties of Degenerate Elliptic Systems of Partial Differential Equations  |a Formulas for Derivatives of Solutions of the $$ \bar \partial $$ -Equation in the Ball  |a On Some Complex Differential and Singular Integral Operators  |a Boundary and Initial Value Problems for Higher Order PDEs in Clifford Analysis  |a On Unique Solvability of the Dirichlet Problem for One Class of Properly Elliptic Equations  |a Dirichlet Problems with Nonsmooth Boundary  |a Dirichlet Problem in the Half-Plane for RO-Varying Weight Functions  |a About One Class of Volterra Type Linear Integral Equations with an Interior Fixed Singular or Super-Singular Point  |a The Method of Discrete Singularities of Solutions of Singular Integral Equations with Unmoved Singularity  |a Localization Operators, Wigner Transforms and Paraproducts  |a The Flight of an Aircraft Along a Given Trajectory and Optimal Flight Control  |a On Mathematical Problems of Two-Dimensional Tomography  |a On a Mixed Problem for a Composite Plane Weakened by arc-Type Cracks  |a Solution of the Two-Dimensional Magnetoelastic Lamb Problem  |a On an Eigenvalue Problem for the Anisotropic Strip  |a On Singular Perturbed Equations of Thin Bodies  |a Exactly Solvable Models of Stochastic Quantum Mechanics within the Framework of Langevin-Schroedinger Type Equations  |a Generating Functions and Wavelet-Like Decompositions 
330 |a 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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