Concrete operators, spectral theory, operators in harmonic analysis and approximation : 22nd International Workshop in Operator Theory and its Applications, Sevilla, July 2011

This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011. The topics include spectral theory, differential operators, integral operators, composition operators, Toeplitz operators, and more. The book also presents a large number of techniques in operator theory. Front Matter....Pages i-xxii Some New Refined Hardy Type Inequalities with Breaking Points p = 2 or p = 3....Pages 1-10 Non-negative Self-adjoint Extensions in Rigged Hilbert Space....Pages 11-41 Matrices with Bidiagonal Decomposition, Accurate Computations and Corner Cutting Algorithms....Pages 43-51 Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains....Pages 53-93 Additive Maps Preserving the Inner Local Spectral Radius....Pages 95-102 On some Generalized Riemann Boundary Value Problems with Shift on the Real Line....Pages 103-115 Generalized Extremal Vectors and Some New Properties....Pages 117-131 Weighted Composition Operators from the Analytic Besov Spaces to BMOA....Pages 133-157 Some Remarks on Essentially Normal Submodules....Pages 159-170 Which Weighted Composition Operators are Complex Symmetric?....Pages 171-179 C* -algebras Generated by Truncated Toeplitz Operators....Pages 181-192 On Some Vector Differential Operators of Infinite Order....Pages 193-203 Wiener–Hopf Type Operators and Their Generalized Determinants....Pages 205-230 Tauberian Operators. Properties, Applications and Open Problems....Pages 231-242 Products of Toeplitz and Hankel Operators on the Hardy Space of the Unit Sphere....Pages 243-256 Three-dimensional Direct and Inverse Scattering for the Schrödinger Equation with a General Nonlinearity....Pages 257-273 The Cauchy Singular Integral Operator on Weighted Variable Lebesgue Spaces....Pages 275-291 Extension of Certain Distributions onWeighted Hölder Space and the Riemann Boundary Value Problem for Non-rectifiable Curves....Pages 293-298 An Analogue of the Spectral Mapping Theorem for Condition Spectrum....Pages 299-316 Commutative Algebras of Toeplitz Operators on the Super Upper Half-plane: Quasi-hyperbolic and Quasi-parabolic Cases....Pages 317-336 Computing the Hilbert Transform in Wavelet Bases on Adaptive Grids....Pages 337-356 B σ -Campanato Estimates for Commutators of Calderón–Zygmund Operators....Pages 357-370 Composition Operators on Large Fractional Cauchy Transform Spaces....Pages 371-376 Hankel Operators on Fock Spaces....Pages 377-390 Evolutionary Problems Involving Sturm–Liouville Operators....Pages 391-404 Crystal Frameworks, Matrix-valued Functions and Rigidity Operators....Pages 405-420 Refined Size Estimates for Furstenberg Sets via Hausdorff Measures: A Survey of Some Recent Results....Pages 421-454 Singular Degenerate Problems Occurring in Atmospheric Dispersion of Pollutants....Pages 455-461 Harmonic Spheres Conjecture....Pages 463-473 Riesz Bases Multipliers....Pages 475-482 Operator Approximation for Processing of Large Random Data Sets....Pages 483-508 On Spectral Periodicity for the Sturm–Liouville Problem: Cantor Type Weight, Neumann and Third Type Boundary Conditions....Pages 509-516 Spectral Analysis and Representations of Solutions of Abstract Integro-differential Equations in Hilbert Space....Pages 517-535