Topics in Analysis and its Applications

1. Front Matter

   Pages i-xiii

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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

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.

• Boundary value problem
• Complex analysis
• Derivative
• Eigenvalue
• Meromorphic function
• bounded mean oscillation
• calculus
• differential equation
• logarithm
• operator theory
• partial differential equations

• 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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