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Topics in Analysis and its Applications

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. G. A. Barsegian

    1. Institute of Mathematics of National Academy of Sciences of Armenia, Yerevan, Armenia

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  2. H. G. W. Begehr

    1. Mathematical Institute, Freie Universität Berlin, Berlin, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 147)

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Table of contents (31 papers)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Shilov Boundary for Normed Algebras

    • Alain Escassut, Nicolas Mai Netti
    Pages 1-10

  3. BMO-Mappings in the Plane

    • Cabiria Andreian Cazacu, Victoria Stanciu
    Pages 11-30

  4. Harmonic Forms on Non-Orientable Surfaces

    • Angel Alonso, Arturo Fernández, Javier Pérez
    Pages 31-46

  5. Periodic Fatou Components and Singularities of the Inverse Function

    • Walter Bergweiler
    Pages 47-59

  6. On the Normality of Topological Target Manifolds for Riemann-Hilbert Problems

    • E. Wegert, G. Semmler
    Pages 61-68

  7. Geometric Aspects of Generalized Analytic Functions

    • Gia Giorgadze
    Pages 69-81

  8. The Riemann-Hilbert Boundary Value Problem on a Cut Plane

    • N. Manjavieze
    Pages 83-90

  9. On the Logarithmic Derivative of Meromorphic Functions

    • A. A. Mokhon’ko, A. Z. Mokhon’ko
    Pages 91-103

  10. Methods for Studying Level Sets of Smooth Enough Functions

    • G. A. Barsegian, G. A. Sukiasyan
    Pages 105-118

  11. Gamma-Lines of Polynomials and a Problem by Erdös-Herzog-Piranian

    • G. A. Barsegian
    Pages 119-122

  12. A Method for Studying Oscillations of Nonlinear Differential Equations. Applications to Some Equations in Biology and Economics

    • K. Barseghyan, G. A. Barsegian
    Pages 123-148

  13. Counting Points of Semi-Algebraic Subsets

    • T. Aliashvili
    Pages 149-161

  14. Behaviour at Infinity of Polynomials of Two Variables

    • H. G. Ghazaryan, V. N. Margaryan
    Pages 163-190

  15. On Some Properties of Degenerate Elliptic Systems of Partial Differential Equations

    • Abduhamid Dzhuraev
    Pages 191-227

  16. Formulas for Derivatives of Solutions of the \( \bar \partial \) -Equation in the Ball

    • A. I. Petrosyan
    Pages 229-233

  17. On Some Complex Differential and Singular Integral Operators

    • H. Begehr, A. Dzhuraev
    Pages 235-269

  18. Boundary and Initial Value Problems for Higher Order PDEs in Clifford Analysis

    • E. Obolashvili
    Pages 271-286

  19. On Unique Solvability of the Dirichlet Problem for One Class of Properly Elliptic Equations

    • A. O. Babayan
    Pages 287-293

  20. Dirichlet Problems with Nonsmooth Boundary

    • A. Okay Çelebi
    Pages 295-309
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Keywords

About this book

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.

Editors and Affiliations

  • Institute of Mathematics of National Academy of Sciences of Armenia, Yerevan, Armenia

    G. A. Barsegian

  • Mathematical Institute, Freie Universität Berlin, Berlin, Germany

    H. G. W. Begehr

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