Recent Progress in Operator Theory and Its Applications

✍ Scribed by Nikita Artamonov (auth.), Joseph A. Ball, Raúl E. Curto, Sergei M. Grudsky, J. William Helton, Raúl Quiroga-Barranco, Nikolai L. Vasilevski (eds.)

• Publisher: Birkhäuser Basel
• Year: 2012
• Tongue: English
• Leaves: 339
• Series: Operator Theory: Advances and Applications 220
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-ix
Exponential Decay of Semigroups for Second-order Non-selfadjoint Linear Differential Equations....Pages 1-10
Infinite Norm Decompositions of C * -algebras....Pages 11-21
Canonical Transfer-function Realization for Schur-Agler-class Functions on Domains with Matrix Polynomial Defining Function in $$\mathbb{C}^n$$ ....Pages 23-55
Generalized Lax Pair Operator Method and Nonautonomous Solitons....Pages 57-76
Asymptotics of Individual Eigenvalues of a Class of Large Hessenberg Toeplitz Matrices....Pages 77-95
Real Berezin Transform and Asymptotic Expansion for Symmetric Spaces of Compact and Non-compact Type....Pages 97-114
On Nonlocal C * -algebras of Two-dimensional Singular Integral Operators....Pages 115-135
The Riemann Boundary Value Problem on Non-rectifiable Curves and Fractal Dimensions....Pages 137-151
Bloch Solutions of Periodic Dirac Equations in SPPS Form....Pages 153-162
An Estimate for the Number of Solutions of a homogeneous Generalized Riemann Boundary Value Problem with Shift....Pages 163-177
On the Hyperderivatives of Dirac-hyperholomorphic Functions of Clifford Analysis....Pages 179-195
On the Discrete Cosine Transform of Weakly Stationary Signals....Pages 197-205
Scattering of a Plane Wave by “Hard-Soft” Wedges....Pages 207-225
Behavior of a Class of Second-order Planar Elliptic Equations with Degeneracies....Pages 227-237
Finite Sections of Band-dominated Operators on Discrete Groups....Pages 239-253
Joint Defect Index of a Cyclic Tuple of Symmetric Operators....Pages 255-261
Commutative Algebras of Toeplitz Operators on the Super Upper Half-plane: Super Parabolic Case....Pages 263-280
Measure Characterization involving the Limiting Eigenvalue Distribution for Schrödinger Operators on S 2 ....Pages 281-287
Relations Among Various Versions of the Segal-Bargmann Transform....Pages 289-306
Nonlinear Scattering in the Lamb System....Pages 307-322
Toeplitz Algebras in Quantum Hopf Fibrations....Pages 323-342

✦ Subjects

Operator Theory; Functional Analysis; Several Complex Variables and Analytic Spaces; Functions of a Complex Variable; Partial Differential Equations