Recent Trends in Toeplitz and Pseudodifferential Operators

1. Front Matter

   Pages i-vii

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2. The Life and Work of Nikolai Vasilevski

   • Sergei Grudsky, Yuri Latushkin, Michael Shapiro

   Pages 1-14

3. On the Structure of the Eigenvectors of Large Hermitian Toeplitz Band Matrices

   • Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maksimenko

   Pages 15-36

4. Complete Quasi-wandering Sets and Kernels of Functional Operators

   • Victor D. Didenko

   Pages 37-42

5. Lions’ Lemma, Korn’s Inequalities and the Lamé Operator on Hypersurfaces

   • Roland Duduchava

   Pages 43-77

6. On the Bergman Theory for Solenoidal and Irrotational Vector Fields, I: General Theory

   • José Oscar González-Cervantes, María Elena Luna-Elizarrarás, Michael Shapiro

   Pages 79-106

7. Weighted Estimates of Generalized Potentials in Variable Exponent Lebesgue Spaces on Homogeneous Spaces

   • Mubariz G. Hajibayov, Stefan G. Samko

   Pages 107-122

8. Wiener-Hopf Operators with Oscillating Symbols on Weighted Lebesgue Spaces

   • Yu. I. Karlovich, J. Loreto Hernández

   Pages 123-145

9. On the Ill-posed Hyperbolic Systems with a Multiplicity Change Point of Not Less Than the Third Order

   • Valeri V. Kucherenko, Andriy Kryvko

   Pages 147-174

10. On C ^*-Algebras of Super Toeplitz Operators with Radial Symbols

    • M. Loaiza, A. S’anchez-Nungaray

    Pages 175-188

11. Universality of Some C ^*-Algebra Generated by a Unitary and a Self-adjoint Idempotent

    • Helena Mascarenhas, Bernd Silbermanna

    Pages 189-193

12. Commutative Algebras of Toeplitz Operators and Lagrangian Foliations

    • R. Quiroga-Barranco

    Pages 195-201

13. Exponential Estimates of Eigenfunctions of Matrix Schrödinger and Dirac Operators

    • V. Rabinovich, S. Roch

    Pages 203-216

14. The Laplace-Beltrami Operator on a Rotationally Symmetric Surface

    • Nikolai Tarkhanov

    Pages 217-231

15. On the Structure of Operators with Automorphic Symbols

    • André Unterberger

    Pages 233-248

16. Hilbert Bundles and Flat Connexions over Hermitian Symmetric Domains

    • Harald Upmeier

    Pages 249-272

The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.

• C*-algebra
• algebra
• commutative algebra
• differential equation
• differential operator
• manifold
• matrices
• matrix
• operator theory
• partial differential equation
• pseudodifferential operators

• Department of Mathematical Physics, Andrea Razmadze Mathematical Institute, Tbilisi

  Roland Duduchava

• National Polytechnic Institute, ESIME Zacatenco, Mexico, Mexico

  Israel Gohberg, Vladimir Rabinovich

• Departamento de Matemáticas, CINVESTAV, Mexico, Mexico

  Sergei M. Grudsky

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