Recent Progress in Operator Theory and Its Applications [electronic resource] /
International Workshop on Operator Theory and Applications(20th :2009 :Guanajuato, Mexico)
Ball, Joseph A.editor.
Curto, Raúl E.editor.
Grudsky, Sergei M.editor.
Helton, J. William.editor.
Quiroga-Barranco, Raúl.editor.
Vasilevski, Nikolai.editor.
This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed. The contributions reflect recent developments in operator theory and its applications. Consistent with the topics of recent IWOTA meetings, IWOTA 2009 was designed as a comprehensive, inclusive conference covering all aspects of theoretical and applied operator theory, ranging from classical analysis, differential and integral equations, complex and harmonic analysis to mathematical physics, mathematical systems and control theory, signal processing and numerical analysis. The conference brought together international experts for a week-long stay at Hotel Real de Minas, in an atmosphere conducive to fruitful, professional interactions. These proceedings reflect the high quality of the papers presented at the conference.
Description based upon print version of record.
Recent Progress in Operator Theory and Its Applications; Contents; Introduction; Exponential Decay of Semigroups for Second-order Non-selfadjoint Linear Differential Equations; 1. Preliminary results; 2. Main result; 3. Related spectral problem; Acknowledgement; References; Infinite Norm Decompositions of C*-algebras; Introduction; 1. Infinite norm decompositions; 2. Applications; References; Canonical Transfer-function Realization for Schur-Agler-class Functions on Domains with Matrix Polynomial Defining Function in Cn; 1. Introduction; 2. Preliminaries; 3. Weakly coisometric realizations
4. Weakly isometric realizations5. Weakly unitary realizations; References; Generalized Lax Pair Operator Method and Nonautonomous Solitons; 1. Introduction; 2. Lax operator method formulation and exact integrability of nonautonomous nonlinear and dispersive models with external potentials; 3. Generalized nonlinear Schr ̈odinger equation and solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons; 4. Chirped optical solitons with moving spectra in nonautonomous systems: colored nonautonomous solitons
5. Bound states of colored nonautonomous optical solitons. Comparison of the Satsuma-Yajima canonical breather with nonautonomous ""agitated"" breather6. Designable integrability of the variable coefficient nonlinear Schr ̈odinger equation; 7. Conclusions; References; Asymptotics of Individual Eigenvalues of a Class of Large Hessenberg Toeplitz Matrices; 1. Introduction and main results; 2. Toeplitz determinant; 3. Contribution of ? to the asymptotic behavior of Dn; 4. Contribution of 1 to the asymptotic behavior of Dn; 5. Individual eigenvalues; 6. An example; References
Real Berezin Transform and Asymptotic Expansion for Symmetric Spaces of Compact and Non-compact Type1. Introduction; 2. Berezin transform for hermitian symmetric spaces; 3. Berezin transform for real symmetric spaces; References; On Nonlocal C*-algebras of Two-dimensional Singular Integral Operators; 1. Introduction; 2. The local-trajectory method; 2.1. Starting assumptions; 2.2. Trajectorial localization; 3. C*-algebra of two-dimensional singular integral operators with constant coefficients on the space L2(II); 4. Quasiconformal shifts and their applications
5. C*-algebra of two-dimensional singular integral operators with continuous coefficients on the space L2(U)5.1. The Allan-Douglas local principle and the C*-algebra u; 5.2. Local algebras; 6. C*-algebra of two-dimensional singular integral operators with shifts and continuous coefficients on the space L2(U); References; The Riemann Boundary Value Problem on Non-rectifiable Curves and Fractal Dimensions; Introduction; 1. Approximation dimensions and integrations; 2. The Cauchy transforms; 3. Non-rectifiable arcs; References; Bloch Solutions of Periodic Dirac Equations in SPPS Form
1. Introduction
Includes bibliographical references.
This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed. The contributions reflect recent developments in operator theory and its applications. Consistent with the topics of recent IWOTA meetings, IWOTA 2009 was designed as a comprehensive, inclusive conference covering all aspects of theoretical and applied operator theory, ranging from classical analysis, differential and integral equations, complex and harmonic analysis to mathematical physics, mathematical systems and control theory, signal processing and numerical analysis. The conference brought together international experts for a week-long stay at Hotel Real de Minas, in an atmosphere conducive to fruitful, professional interactions. These proceedings reflect the high quality of the papers presented at the conference.
Operator theory.
Functional analysis.
Functions of complex variables.
Partial differential equations.
Operator Theory.
Functional Analysis.
Several Complex Variables and Analytic Spaces.
Functions of a Complex Variable.
Partial Differential Equations.
Operator theory