Recent Advances in Operator Theory and Its Applications

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.