Topics In Analysis And Its Applications

by Barsegian, Grigor A.; Begehr, Heinrich G. W.

• ISBN13: 9781402020629
• ISBN10: 1402020627
• Format: Hardcover
• Copyright: 2004-05-31
• Publisher: Kluwer Academic Pub

Summary

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.

Table of Contents

Preface	ix
Shilov boundary for normed algebras	1	(10)
A. Escassut
N.M. Netti
BMO-mappings in the plane	11	(20)
C. Andreian Cazacu
V. Stanciu
Harmonic forms on non-orientable surfaces	31	(16)
A. Alonso
A. Fernandez
J. Perez
Periodic Fatou components and singularities of the inverse function	47	(14)
W. Bergweiler
On the normality of topological target manifolds for Riemann-Hilbert problems	61	(8)
E. Wegert
G. Semmler
Geometric aspects of generalized analytic functions	69	(14)
G. Giorgadze
The Riemann-Hilbert boundary value problem on a cut plane	83	(8)
N. Manjavidze
On the logarithmic derivative of meromorphic functions	91	(14)
A.A. Mokhon'ko
A.Z. Mokhon'ko
Methods for studying level sets of smooth enough functions	105	(14)
G.A. Barsegian
G.A. Sukiasyan
Gamma-lines of polynomials and a problem by Erdos-Herzog-Piranian	119	(4)
G.A. Barsegian
A method for studying oscillations of nonlinear differential equations. Applications to some equations in biology and economics	123	(26)
K. Barseghyan
G.A. Barsegian
Counting points of semi-algebraic subsets	149	(14)
T. Aliashvili
Behaviour at infinity of polynomials of two variables	163	(28)
H.G. Ghazaryan
V.N. Margaryan
On some properties of degenerate elliptic systems of partial differential equations	191	(38)
A. Dzhuraev
Formulas for derivatives of solutions of the ∂-equation in the ball	229	(6)
A.I. Petrosyan
On some complex differential and singular integral operators	235	(36)
H. Begehr
A. Dzhuraev
Boundary and initial value problems for higher order PDEs in Clifford analysis	271	(16)
E. Obolashvili
On unique solvability of the Dirichlet problem for one class of properly elliptic equations	287	(8)
A.O. Babayan
Dirichlet problems with nonsmooth boundary	295	(16)
A.O. Celebi
Dirichlet problem in the half-plane for RO--varying weight functions	311	(6)
H. Hairapetian
About one class of Volterra type linear integral equations with an interior fixed singular or super-singular point	317	(10)
N. Rajabov
The method of discrete singularities of solutions of singular integral equations with unmoved singularity	327	(6)
A. Sahakyan
Localization operators, Wigner transforms and paraproducts	333	(14)
M.W. Wong
The flight of an aircraft along a given trajectory and optimal flight control	347	(18)
N.E. Tovmasyan
On mathematical problems of two-dimensional tomography	365	(12)
A. Vagarshakyan
On a mixed problem for a composite plane weakened by arc-type cracks	377	(8)
V.N. Hakobyan
L.L. Dashtoyan
Solution of the two-dimensional magnetoelastic Lamb problem	385	(12)
G.Y. Baghdasaryan
Z.N. Danoyan
M.A. Mikilyan
On an eigenvalue problem for the anisotropic strip	397	(6)
M. Aghalovyan
On singular perturbed equations of thin bodies	403	(12)
L. Aghalovyan
Exactly solvable models of stochastic quantum mechanics within the framework of Langevin-Schrodinger type equations	415	(28)
A.S. Gevorkyan
Generating functions and wavelet-like decompositions	443	(10)
A. Nersessian
Index of Names	453	(4)
Index of Subjects	457