Complex analysis and potential theory : proceedings of the conference satellite to ICM 2006, Gebze Institute of Technology, Turkey, 8-14 September 2006 / editors, Tahir Aliyev Azeroglu, Promarx M. Tamrazov.

Format:

Book

Conference/Event

Contributor:

Aliyev Azeroğlu, Tahir.

Tamrazov, Promarz Melikovic.

Gebze Institute of Technology (Turkey)

Conference Name:

ICM Satellite Conference on Complex Analysis and Potential Theory (2006 : Gebze, Turkey)

ICM Satellite Conference on Complex Analysis and Potential Theory

Language:

English

Subjects (All):

Mathematical analysis--Congresses.

Mathematical analysis.

Functions of complex variables--Congresses.

Functions of complex variables.

Potential theory (Mathematics)--Congresses.

Potential theory (Mathematics).

Functions, Meromorphic--Congresses.

Functions, Meromorphic.

Combinatorial analysis--Congresses.

Combinatorial analysis.

Mappings (Mathematics)--Congresses.

Mappings (Mathematics).

Physical Description:

1 online resource (300 p.)

Place of Publication:

Hackensack, N.J. : World Scientific, 2007.

Language Note:

English

Summary:

This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Kühnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.

Contents:

Preface; Participants; CONTENTS; Part A TALKS; Strengthened Moser's Conjecture and Finsler Geometry of Grunsky Coefficients S. Krushkal; 1. Grunsky inequalities and Fredholm eigenvalues; 1.1.; 1.2.; 2. Sketch of the proof of Theorem 1; 2.1.; 2.2.; 2.3.; 2.4.; 2.5.; 2.7.; 3. Inversion of Ahlfors and Grunsky inequalities; 3.1.; 3.2.; 3.3.; 3.4. Geometric applications; 3.5.; References; Decompositions of Meromorphic Functions Over Small Functions Fields C.-C. Yang and P. La; 1. Introduction and Results; 2. Some Lemmas; 3. Proof of Theorem 1; 4. Proof of Theorem 2; 5. Proof of Corollary 1

6. Proof of Corollary 27. Proof of Corollary 3; References; Speed of Approximation to Degenerate Quasiconformal Mappings and Stability Problems V. M. Miklyukov; 1. Isothermal coordinates; 2. Canonical homeomorphisms; 3. Main Theorem; 4. Remarks on W1,2 majorized functions; References; Grunsky Inequalities, Fredholm Eigenvalues, Reflection Coefficients R. Kuhnau; 1. Introduction; 2. Proof of Theorem 2; 3. Examples of mappings (9); 4. Analogue: Golusin's inequalities; References; Sums of Reciprocal Eigenvalues B. Dittmar; 1. Introduction; 2. Membrane problems; 2.1. Fixed membrane

2.2. Free membrane3. Stekloff eigenvalue problems; 3.1. Stekloff problem; 3.2. Mixed Stelcloff problem; References; Geometry of the General Beltrami Equations B. Bojarski; 1. Generating the Beltrami equations; 2. Principal homeomorphisms' of the Beltrami equations; 3. Structure theorem for general Beltrami equations; 4. Primary solutions of the general Beltrami equations; 5. Lavrentiev fields and quasiconformal mappings; 6. Uniqueness in the general measurable Riemann mapping theorem; References; A Particular Polyharmonic Dirichlet Problem H. Begehr; 1. Biharmonic boundary value problems

2. A representation formula3. A polyharmonic Dirichlet problem; 4. Appendix; References; Finely Meromorphic Functions in Contour-Solid Problems T. Aliyeu Azeroilu and P. M. Tamrazou; 1. Introduction; 2. Main Results; 3. Proof of Theorems; References; A Generalized Schwartz Lemma at the Boundary T. Aliyev Azeroilu and B. N . Ornek; References; Singular Perturbation Problems in Potential Theory and Applications M. Lanza de Gristoforis; 1. Introduction.; 2. A concrete case: the case of the nonlinear Robin boundary conditions; Acknowledgments; References

Residues on a Klein Surface A. Ferna'ndez Arias and J . Pirez Alvarez1. Klein surface of a real function field; 2. Abelian Differentials; References; Combinatorial Theorems of Complex Analysis Yu. B. Zelinskii; References; Geometric Approach in the Theory of Generalized Quasiconformal Mappings A . Golberg; 1. The Cauchy theorems for univalent functions.; 2. Main result for locally univalent functions.; 3. Generalizations of the Bohr and Menshoff theorems for continuous functions.; 4. Generalized quasiconformal mappings in Rn.; 5. Equivalence of analytic and geometric descriptions.; References

Separately Quasi-Nearly Subharmoriic Functions J. Riihentaus

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611930066

9781281930064

1281930067

9789812778833

9812778837