Modern operator theory and applications : the Igor Borisovich Simonenko anniversary volume
著者
書誌事項
Modern operator theory and applications : the Igor Borisovich Simonenko anniversary volume
（Operator theory : advances and applications, v. 170）
Birkhäuser, c2007
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注記
Other editors: I. Gohberg, S.M. Grudsky, V. Rabinovich, N. Vasilevski
Includes bibliographical references
内容説明・目次
内容説明
This volume is dedicated to the eminent Russian mathematician I.B. Simonenko on the occasion of his 70th birthday. It presents recent results in Fredholm theory for singular integral and convolution operators, estimates for singular integral operators on Carleson curves acting in Lp spaces with variable exponents, the finite sections method for band-dominated and Toeplitz operators, Szegoe type theorems, the averaging method for nonlinear equations, among others.
目次
Coefficients Averaging for Functional Operators Generated by Irrational Rotation.- On the Verification of Linear Equations and the Identification of the Toeplitz-plus-Hankel Structure.- Asymmetric Factorizations of Matrix Functions on the Real Line.- On the Structure of the Square of a C 0(1) Operator.- On the Connection Between the Indices of a Block Operator Matrix and of its Determinant.- Quasi-commutativity of Entire Matrix Functions and the Continuous Analogue of the Resultant.- Double Barrier Options Under Levy Processes.- A Local-trajectory Method and Isomorphism Theorems for Nonlocal C*-algebras.- Boundedness in Lebesgue Spaces with Variable Exponent of the Cauchy Singular Operator on Carleson Curves.- On the Averaging Method for the Problem of Heat Convection in the Field of Highly-Oscillating Forces.- Finite Sections of Band-dominated Operators with Almost Periodic Coefficients.- On the Toeplitz Operators with Piecewise Continuous Symbols on the Bergman Space.- Asymptotics of a Class of Operator Determinants.
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