Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation, 1st Edition

  • Published By:
  • ISBN-10: 3034806485
  • ISBN-13: 9783034806480
  • DDC: 515.72
  • Grade Level Range: College Freshman - College Senior
  • 535 Pages | eBook
  • Original Copyright 2014 | Published/Released June 2014
  • This publication's content originally published in print form: 2014

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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.

Table of Contents

Front Cover.
Other Frontmatter.
Editorial Board.
Title Page.
Copyright Page.
Israel Gohberg Memorial Session.
Research Work of Israel Gohberg.
1: Some New Refined Hardy Type Inequalities with Breaking Points p = 2 or p = 3.
2: Non-negative Self-adjoint Extensions in Rigged Hilbert Space.
3: Matrices with Bidiagonal Decomposition, Accurate Computations and Corner Cutting Algorithms.
4: Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains.
5: Additive Maps Preserving the Inner Local Spectral Radius.
6: On some Generalized Riemann Boundary Value Problems with Shift on the Real Line.
7: Generalized Extremal Vectors and Some New Properties.
8: Weighted Composition Operators from the Analytic Besov Spaces to BMOA.
9: Some Remarks on Essentially Normal Submodules.
10: Which Weighted Composition Operators are Complex Symmetric?.
11: C*-algebras Generated by Truncated Toeplitz Operators.
12: On Some Vector Differential Operators of Infinite Order.
13: Wiener-Hopf Type Operators and Their Generalized Determinants.
14: Tauberian Operators. Properties, Applications and Open Problems.
15: Products of Toeplitz and Hankel Operators on the Hardy Space of the Unit Sphere.
16: Three-dimensional Direct and Inverse Scattering for the Schrödinger Equation with a General Nonlinearity.
17: The Cauchy Singular Integral Operator on Weighted Variable Lebesgue Spaces.
18: Extension of Certain Distributions on Weighted Hölder Space and the Riemann Boundary Value Problem for Non-rectifiable Curves.
19: An Analogue of the Spectral Mapping Theorem for Condition Spectrum.
20: Commutative Algebras of Toeplitz Operators on the Super Upper Half-plane: Quasi-hyperbolic and Quasi-parabolic Cases.
21: Computing the Hilbert Transform in Wavelet Bases on Adaptive Grids.
22: Bσ-Campanato Estimates for Commutators of Calderón-Zygmund Operators.
23: Composition Operators on Large Fractional Cauchy Transform Spaces.
24: Hankel Operators on Fock Spaces.
25: Evolutionary Problems Involving Sturm-Liouville Operators.
26: Crystal Frameworks, Matrix-valued Functions and Rigidity Operators.
27: Refined Size Estimates for Furstenberg Sets via Hausdorff Measures: A Survey of Some Recent Results.
28: Singular Degenerate Problems Occurring in Atmospheric Dispersion of Pollutants.
29: Harmonic Spheres Conjecture.
30: Riesz Bases Multipliers.
31: Operator Approximation for Processing of Large Random Data Sets.
32: On Spectral Periodicity for the Sturm—Liouville Problem: Cantor Type Weight, Neumann and Third Type Boundary Conditions.
33: Spectral Analysis and Representations of Solutions of Abstract Integro-differential Equations in Hilbert Space.