Israel mathematical conference proceedings : complex analysis and dynamical systems VII : seventh International Conference on Complex Analysis and Dynamical Systems, May 10-15, 2015, Nahariya, Israel / Mark L. Agranovsky [and eight others], editors.

Format:

Book

Conference/Event

Contributor:

Agranovskiĭ, M. L. (Mark Lʹvovich), editor.

Conference Name:

International Conference on Complex Analysis and Dynamical Systems (7th : 2015 : Nahariyah, Israel)

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 699

Contemporary mathematics, 699 0271-4132

Language:

English

Subjects (All):

Functions of complex variables--Congresses.

Functions of complex variables.

Calculus of variations--Congresses.

Calculus of variations.

Numerical analysis--Congresses.

Numerical analysis.

Physical Description:

1 online resource (295 pages) : illustrations (some color).

Edition:

1st ed.

Other Title:

Complex analysis and dynamical systems VII

Place of Publication:

Providence, Rhode Island ; Ramat Gan, Israel : American Mathematical Society : Bar-Ilan University, 2017.

Summary:

This volume contains the proceedings of the Seventh International Conference on Complex Analysis and Dynamical Systems, held from May 10-15, 2015, in Nahariya, Israel. The papers in this volume range over a wide variety of topics in the interaction between various branches of mathematical analysis. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, geometry, harmonic analysis, and partial differential equations, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis.

Contents:

Cover

Title page

Contents

Preface

Conference Program

Accuracy of reconstruction of spike-trains with two near-colliding nodes

1. Introduction

2. Setting of the problem

3. Visualization of the error sets _{ }( )

4. Prony curves and error amplification: main results

5. Proofs

6. A case of complex nodes

Acknowledgements

References

Exact solutions to a Muskat problem with line distributions of sinks and sources

2. The Schwarz function method of finding exact solutions for the Muskat problem

3. A two-phase mother body

4. Examples of specific Γ(0)

5. Conclusions

Acknowledgments

Modulus of families of walks on graphs

2. Notations and Definitions

3. Definition of modulus of families of walks

4. Beurling's criterion for extremality

5. General properties for modulus of walk families

6. Capacity

7. Essential subfamilies and inequality conditions for admissibility

8. Modulus as a Convex Program and the Karush-Kuhn-Tucker conditions

9. An algorithm for approximating the modulus

10. Conclusion

Acknowledgement

Uniqueness of contact Hamiltonians of topological strictly contact isotopies

2. Review of contact geometry

3. Topological strictly contact isotopies

4. The proof of Theorem 1.1

A Triple Principle (for Curves, Surfaces and Complex Functions) and the Universal Version of Value Distribution Theory

Introduction

1. The winding principles for the plane curves

2. A counterpart of the principle for the surfaces

3. A counterpart of the principle for the complex functions

4. Universal version of value distribution for functions in a given domain

Characterization of orthogonal polynomials- A new proof of Bochner's theorem.

1. Introduction

2. Classification theorem

3. Orthogonal polynomials with orthogonal derivatives

4. Conclusions

Decomposition of the Kostlan-Shub-Smale model for random polynomials

2. The coefficients corresponding to invariant Euclidean structures

3. The coefficients for the space of homogeneous polynomials

4. The scaling limit of the coefficients ⱼ as →∞

5. Approximation by polynomials of lower degree

Differentiability of ring homeomorphisms with controlled -module

2. Auxiliary results

3. Proof of Theorem 1.1

4. Differentiability condition for integrable majorant

Some inequalities for holomorphic self-maps of the unit disc with two fixed points

2. Proof of Theorem 1

3. Proof of Theorem 2

Interpolation and Cubature at Geronimus Nodes Generated by Different Geronimus Polynomials

2. Geronimus polynomials

3. Interpolation nodes

4. Construction of Lagrange polynomials

5. Proof of Propositions 2 and 3

6. Further comments

Characterizations to the fractional Sobolev inequality

2. Notation and preliminaries

3. The main result

4. On the fractional capacity and perimeter

Elliptic perturbations of dynamical systems with a proper node

2. The case of homogeneous differential equation

3. The case of homogeneous boundary condition

4. The case of right-hand side of zero average value

5. Conclusion

6. Appendix

Krull dimensions of rings of holomorphic functions

1. Hyperreal numbers

2. Krull dimension of ample rings

3. Ampleness of rings of holomorphic functions

Complex geodesics and variational calculus for univalent functions.

1. Key theorems on invariant metrics and geodesics on \Te spaces

2. Proof of Theorem 1.1

3. Applications to geometric complex analysis

4. New phenomena

Analytic reflection across analytic Jordan curves

2. A measure for the analyticity of a Jordan curve

3. Extendibility condition for ℭ

4. Influence of an affine transformation

5. Another proof of Theorem 2

Compositions of polyharmonic mappings

1. Introduction and Main Results

2. Some Notations and Preliminary Results

3. The Proofs of the Main Theorems

On Marcinkiewicz-Zygmund inequalities at Jacobi zeros and their Bessel function cousins

2. Proofs of Theorem 1.1 and Corollary 1.2

3. Proofs of Theorem 1.3 and Corollary 1.4

Nonminimal cyclic invariant subspaces of hyperbolic composition operators

2. Inner functions

3. Non-inner functions

An improved defect relation for holomorphic curves in projective varieties

1. Statement of the Main Results

2. Proof of the Main Theorem

A porosity theorem for a class of nonexpansive set-valued mappings

1. Introduction and preliminaries

2. Main result

3. Auxiliary results

4. Proof of Theorem 2.1

The Khavinson-Shapiro conjecture for domains with a boundary consisting of algebraic hypersurfaces

2. Surjectivity of Fischer operators.

3. On the conjecture (CS)

Shadow Problem for the Tangent Bundle of Straight Lines on a Sphere

Back Cover.

Notes:

Includes bibliographical references at the end of each chapters.

Description based on print version record.

ISBN:

1-4704-4256-6