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Topics in Analysis and Its Applications : Proceedings of the NATO Advanced Research Workshop, Yerevan, Armenia, 22-25 September, 2002 :  Proceedings of the NATO Advanced Research Workshop, Yerevan, Armenia, 22-25 September, 2002 - Grigor A. Barsegian

Topics in Analysis and Its Applications : Proceedings of the NATO Advanced Research Workshop, Yerevan, Armenia, 22-25 September, 2002

Proceedings of the NATO Advanced Research Workshop, Yerevan, Armenia, 22-25 September, 2002

By: Grigor A. Barsegian (Editor), H. Begehr (Editor)

Hardcover

Published: July 2004
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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.

Shilov boundary for normed algebrasp. 1
BMO-mappings in the planep. 11
Harmonic forms on non-orientable surfacesp. 31
Periodic Faton components and singularities of the inverse functionp. 47
On the normality of topological target manifolds for Riemann-Hilbert problemsp. 61
Geometric aspects of generalized analytic functionsp. 69
The Riemann-Hilbert boundary value problem on a cut planep. 83
On the logarithmic derivative of meromorphic functionsp. 91
Methods for studying level sets of smooth enough functionsp. 105
Gamma-lines of polynomials and a problem by Erdos-Herzog-Piranianp. 119
A method for studying oscillations of nonlinear differential equations : applications to some equations in biology and economicsp. 123
Counting points of semi-algebraic subsetsp. 149
Behaviour at infinity of polynomials of two variablesp. 163
On some properties of degenerate elliptic systems of partial differential equationsp. 191
Formulas for derivatives of solutions of the [Delta]-equation in the ballp. 229
On some complex differential and singular integral operatorsp. 235
Boundary and initial value problems for higher order PDEs in Clifford analysisp. 271
On unique solvability of the dirichlet problem for one class of properly elliptic equationsp. 287
Dirichlet problems with nonsmooth boundaryp. 295
Dirichlet problem in the half-plane for RO - varying weight functionsp. 311
About one class of Volterra type linear integral equations with an interior fixed singular or super-singular pointp. 317
The method of discrete singularities of solutions of singular integral equations with unmoved singularityp. 327
Localization operators, Wigner transforms and paraproductsp. 333
The fight of an aircraft along a given trajectory and optimal flight controlp. 347
On mathematical problems of two-dimensional tomographyp. 365
On a mixed problem for a composite plane weakened by arc-type cracksp. 377
Solution of the two-dimensional magnetoelastic Lamb problemp. 385
On an eigenvalue problem for the anisotropic stripp. 397
On singular perturbed equations of thin bodiesp. 403
Exactly solvable models of stochastic quantum mechanics within the framework of Langevin-Schrodinger type equationsp. 415
Generating functions and wavelet-like decompositionsp. 443
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781402020629
ISBN-10: 1402020627
Series: NATO Science Series II
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 469
Published: July 2004
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 0.89