Ebook: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations: 21st International Workshop on Operator Theory and Applications, Berlin, July 2010

The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.

---

The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.

Content:
Front Matter....Pages i-ix
About the Gradient of the Conformal Radius....Pages 1-10
Some Classes of Operators on Partial Inner Product Spaces....Pages 11-24
From Forms to Semigroups....Pages 25-46
Accretive (*)-extensions and Realization Problems....Pages 47-69
The Dynamical Problem for a Non Self-adjoint Hamiltonian....Pages 71-108
Families of Homomorphisms in Non-commutative Gelfand Theory: Comparisons and Examples....Pages 109-119
Operator Splitting with Spatial-temporal Discretization....Pages 121-130
On a Theorem of Karhunen and Related Moment Problems and Quadrature Formulae....Pages 131-159
Explicit Error Estimates for Eigenvalues of Some Unbounded Jacobi Matrices....Pages 161-171
Algebraic Reflexivity and Local Linear Dependence: Generic Aspects....Pages 173-187
An Invitation to the S-functional Calculus....Pages 189-217
Necessity of Parameter-ellipticity for Multi-order Systems of Differential Equations....Pages 219-239
Canonical Eigenvalue Distribution of Multilevel Block Toeplitz Sequences with Non-Hermitian Symbols....Pages 241-254
Curvature Invariant and Generalized Canonical Operator Models – I....Pages 255-268
About Compressible Viscous Fluid Flow in a 2-dimensional Exterior Domain....Pages 269-291
On Canonical Solutions of a Moment Problem for Rational Matrix-valued Functions....Pages 293-304
Transfer Functions for Pairs of Wandering Subspaces....Pages 305-321
Non-negativity Analysis for Exponential-Polynomial-Trigonometric Functions on [0,?)....Pages 323-372
Dislocation Problems for Periodic Schr?dinger Operators and Mathematical Aspects of Small Angle Grain Boundaries....Pages 373-384
The Riemann Boundary Value Problem on Non-rectifiable Arcs and the Cauchy Transform....Pages 385-398
Decay Estimates for Fourier Transforms of Densities Defined on Surfaces with Biplanar Singularities....Pages 399-412
Schatten-von Neumann Estimates for Resolvent Differences of Robin Laplacians on a Half-space....Pages 413-420
Smoothness of Hill’s Potential and Lengths of Spectral Gaps....Pages 421-432
A Frucht Theorem for Quantum Graphs....Pages 433-441
Note on Characterizations of the Harmonic Bergman Space....Pages 443-451
On Some Boundary Value Problems for the Helmholtz Equation in a Cone of 240?....Pages 453-468
The Infinite-dimensional Sylvester Differential Equation and Periodic Output Regulation....Pages 469-479
A Class of Evolutionary Problems with an Application to Acoustic Waves with Impedance Type Boundary Conditions....Pages 481-490
Maximal Semidefinite Invariant Subspaces for J-dissipative Operators....Pages 491-496
The Riemann–Hilbert Boundary Value Problem with a Countable Set of Coefficient Discontinuities and Two-side Curling at Infinity of the Order Less Than 1/2....Pages 497-513
On the Spectrum of Some Class of Jacobi Operators in a Krein Space....Pages 515-531
Holomorphy in Multicomplex Spaces....Pages 533-548
On Some Class of Self-adjoint Boundary Value Problems with the Spectral Parameter in the Equations and the Boundary Conditions....Pages 549-570
On the Well-posedness of Evolutionary Equations on Infinite Graphs....Pages 571-585
Reparametrizations of Non Trace-normed Hamiltonians....Pages 587-605
....Pages 607-616