Topics in Analysis and its Applications (eBook, PDF)
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Topics in Analysis and its Applications (eBook, PDF)
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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…mehr
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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.
Produktdetails
- Produktdetails
- Verlag: Springer Netherland
- Erscheinungstermin: 5. Februar 2006
- Englisch
- ISBN-13: 9781402021282
- Artikelnr.: 37353352
- Verlag: Springer Netherland
- Erscheinungstermin: 5. Februar 2006
- Englisch
- ISBN-13: 9781402021282
- Artikelnr.: 37353352
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 byarc-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.
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.
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 byarc-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.
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.