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This book contains a selection of carefully refereed research papers, most of which were presented at the 14th International Workshop on Operator Theory and its Applications (IWOTA) held at Cagliari, Italy (June 24-27, 2003). The papers, many of which have been written by leading experts in the field, concern a wide variety of topics in modern operator theory and applications, with emphasis on differential operators and numerical methods. Included are papers on the structure of operators, spectral theory of differential operators, theory of pseudo-differential operators and Fourier integral…mehr

Produktbeschreibung
This book contains a selection of carefully refereed research papers, most of which were presented at the 14th International Workshop on Operator Theory and its Applications (IWOTA) held at Cagliari, Italy (June 24-27, 2003). The papers, many of which have been written by leading experts in the field, concern a wide variety of topics in modern operator theory and applications, with emphasis on differential operators and numerical methods. Included are papers on the structure of operators, spectral theory of differential operators, theory of pseudo-differential operators and Fourier integral operators, numerical methods for solving nonlinear integral equations, singular integral equations, and Toeplitz systems. Other main topics covered are inverse problems for canonical systems, factorization methods, metric constrained interpolation, mathematical system theory, and elements of multivariable operator theory. The book will be of interest to a wide audience of pure and applied mathematicians and engineers. TOC:Editorial Preface.- Contributions by T. Aktosun, M.H. Borkowski, A.J. Cramer and L.C. Pittman; T. Ando; W. Bhosri, A.E. Frazho and B. Yagci; M.R. Capobianco, G. Criscuolo and P. Junghanns; M. Cappiello; D. Arov and H. Dym; C. Estatico; K. Galkowski; G. Garello and A. Morando; G.J. Groenewald and M.A. Kaashoek; G. Heinig and K. Rost; M. Kaltenbäck, H. Winkler and H. Woracek; D.S. Kalyuzhnyi-Verbovetzkii; V. Kostrykin and K.A. Makarov; G. Mastroianni, M.G. Russo and W. Themistoclakis; A. Oliaro; V. Olshevsky and L. Sakhnovich; P. Rocha, P. Vettori and J.C. Willems; G. Rodriguez, S. Seatzu and D. Theis; B. Silbermann; C. van der Mee and A.C.M. Ran; C. van der Mee, L. Rodman and I.M. Spitkovsky; G. Wanjala; M.W. Wong.

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Inhaltsangabe
Inverse Scattering with Rational Scattering Coefficients and Wave Propagation in Nonhomogeneous Media.- Aluthge Transforms and the Convex Hull of the Spectrum of a Hilbert Space Operator.- Maximal Nevanlinna-Pick Interpolation for Points in the Open Unit Disc.- On the Numerical Solution of a Nonlinear Integral Equation of Prandtl s Type.- Fourier Integral Operators and Gelfand-Shilov Spaces.- Strongly Regular J-inner Matrix-valued Functions and Inverse Problems for Canonical Systems.- Regularization Processes for Real Functions and Ill-posed Toeplitz Problems.- Minimal State-space Realization for a Class of nD Systems.- Continuity in Weighted Besov Spaces for Pseudodifferential Operators with Non-regular Symbols.- A New Proof of an Ellis-Gohberg Theorem on Orthogonal Matrix Functions Related to the Nehari Problem.- Schur-type Algorithms for the Solution of Hermitian Toeplitz Systems via Factorization.- Almost Pontryagin Spaces.- Multivariable ?-contractions.- The Singularly Continuous Spectrum and Non-Closed Invariant Subspaces.- Numerical Methods for Cauchy Singular Integral Equations in Spaces of Weighted Continuous Functions.- On a Gevrey-Nonsolvable Partial Differential Operator.- Optimal Prediction of Generalized Stationary Processes.- Symmetries of 2D Discrete-Time Linear Systems.- An Algorithm for Solving Toeplitz Systems by Embedding in Infinite Systems.- Fredholm Theory and Numerical Linear Algebra.- Additive and Multiplicative Perturbations of Exponentially Dichotomous Operators on General Banach Spaces.- Factorization of Block Triangular Matrix Functions with Off-diagonal Binomials.- Closely Connected Unitary Realizations of the Solutions to the Basic Interpolation Problem for Generalized Schur Functions.- Trace-Class Weyl Transforms.