Ebook: Modern Operator Theory and Applications: The Igor Borisovich Simonenko Anniversary Volume
Author: Yakob M. Erusalimsky Israel Gohberg Sergei M. Grudsky Vladimir Rabinovich Nikolai Vasilevski (eds.)
- Tags: Operator Theory
- Series: Operator Theory: Advances and Applications 170
- Year: 2007
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
This volume is dedicated to the eminent Russian mathematician Igor Borisovich Simonenko on the occasion of his 70th birthday. It consists of a selection of 15 original contributions written by leading experts in operator theory. The topics reflect the wide range and the rich variety of areas of interests, achievements and influence of I.B. Simonenko. The book also includes his biography, the complete list of publications and a list of his Ph.D. students.
Among the topics covered are functional, Toeplitz and Toeplitz plus Hankel, local and nonlocal, singular integral and convolution operators, and continuous analogs of resultant operators. The contributions analyze and solve problems of factorization, irreducibility, asymptotics of determinants, finite sections, and index problems for different types of operators. Applications concern problems in financial mathematics and hydrodynamics.
The book will be of interest to a wide audience of pure and applied mathematicians.
This volume is dedicated to the eminent Russian mathematician Igor Borisovich Simonenko on the occasion of his 70th birthday. It consists of a selection of 15 original contributions written by leading experts in operator theory. The topics reflect the wide range and the rich variety of areas of interests, achievements and influence of I.B. Simonenko. The book also includes his biography, the complete list of publications and a list of his Ph.D. students.
Among the topics covered are functional, Toeplitz and Toeplitz plus Hankel, local and nonlocal, singular integral and convolution operators, and continuous analogs of resultant operators. The contributions analyze and solve problems of factorization, irreducibility, asymptotics of determinants, finite sections, and index problems for different types of operators. Applications concern problems in financial mathematics and hydrodynamics.
The book will be of interest to a wide audience of pure and applied mathematicians.
This volume is dedicated to the eminent Russian mathematician Igor Borisovich Simonenko on the occasion of his 70th birthday. It consists of a selection of 15 original contributions written by leading experts in operator theory. The topics reflect the wide range and the rich variety of areas of interests, achievements and influence of I.B. Simonenko. The book also includes his biography, the complete list of publications and a list of his Ph.D. students.
Among the topics covered are functional, Toeplitz and Toeplitz plus Hankel, local and nonlocal, singular integral and convolution operators, and continuous analogs of resultant operators. The contributions analyze and solve problems of factorization, irreducibility, asymptotics of determinants, finite sections, and index problems for different types of operators. Applications concern problems in financial mathematics and hydrodynamics.
The book will be of interest to a wide audience of pure and applied mathematicians.
Content:
Front Matter....Pages i-vii
Introduction....Pages 1-26
Coefficients Averaging for Functional Operators Generated by Irrational Rotation....Pages 27-41
On the Verification of Linear Equations and the Identification of the Toeplitz-plus-Hankel Structure....Pages 43-51
Asymmetric Factorizations of Matrix Functions on the Real Line....Pages 53-74
On the Structure of the Square of a C 0(1) Operator....Pages 75-84
On the Connection Between the Indices of a Block Operator Matrix and of its Determinant....Pages 85-100
Quasi-commutativity of Entire Matrix Functions and the Continuous Analogue of the Resultant....Pages 101-106
Double Barrier Options Under L?vy Processes....Pages 107-135
A Local-trajectory Method and Isomorphism Theorems for Nonlocal C*-algebras....Pages 137-166
Boundedness in Lebesgue Spaces with Variable Exponent of the Cauchy Singular Operator on Carleson Curves....Pages 167-186
On the Averaging Method for the Problem of Heat Convection in the Field of Highly-Oscillating Forces....Pages 187-203
Finite Sections of Band-dominated Operators with Almost Periodic Coefficients....Pages 205-228
On the Toeplitz Operators with Piecewise Continuous Symbols on the Bergman Space....Pages 229-248
Asymptotics of a Class of Operator Determinants....Pages 249-256
This volume is dedicated to the eminent Russian mathematician Igor Borisovich Simonenko on the occasion of his 70th birthday. It consists of a selection of 15 original contributions written by leading experts in operator theory. The topics reflect the wide range and the rich variety of areas of interests, achievements and influence of I.B. Simonenko. The book also includes his biography, the complete list of publications and a list of his Ph.D. students.
Among the topics covered are functional, Toeplitz and Toeplitz plus Hankel, local and nonlocal, singular integral and convolution operators, and continuous analogs of resultant operators. The contributions analyze and solve problems of factorization, irreducibility, asymptotics of determinants, finite sections, and index problems for different types of operators. Applications concern problems in financial mathematics and hydrodynamics.
The book will be of interest to a wide audience of pure and applied mathematicians.
Content:
Front Matter....Pages i-vii
Introduction....Pages 1-26
Coefficients Averaging for Functional Operators Generated by Irrational Rotation....Pages 27-41
On the Verification of Linear Equations and the Identification of the Toeplitz-plus-Hankel Structure....Pages 43-51
Asymmetric Factorizations of Matrix Functions on the Real Line....Pages 53-74
On the Structure of the Square of a C 0(1) Operator....Pages 75-84
On the Connection Between the Indices of a Block Operator Matrix and of its Determinant....Pages 85-100
Quasi-commutativity of Entire Matrix Functions and the Continuous Analogue of the Resultant....Pages 101-106
Double Barrier Options Under L?vy Processes....Pages 107-135
A Local-trajectory Method and Isomorphism Theorems for Nonlocal C*-algebras....Pages 137-166
Boundedness in Lebesgue Spaces with Variable Exponent of the Cauchy Singular Operator on Carleson Curves....Pages 167-186
On the Averaging Method for the Problem of Heat Convection in the Field of Highly-Oscillating Forces....Pages 187-203
Finite Sections of Band-dominated Operators with Almost Periodic Coefficients....Pages 205-228
On the Toeplitz Operators with Piecewise Continuous Symbols on the Bergman Space....Pages 229-248
Asymptotics of a Class of Operator Determinants....Pages 249-256
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