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Recent Trends in Toeplitz and Pseudodifferential Operators

The Nikolai Vasilevskii Anniversary Volume

  • Book
  • © 2010

Overview

Editors:
  1. Roland Duduchava

    1. Department of Mathematical Physics, Andrea Razmadze Mathematical Institute, Tbilisi

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  2. Israel Gohberg

    1. National Polytechnic Institute, ESIME Zacatenco, Mexico, Mexico

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    You can also search for this editor in PubMed   Google Scholar

  3. Sergei M. Grudsky

    1. Departamento de Matemáticas, CINVESTAV, Mexico, Mexico

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    You can also search for this editor in PubMed   Google Scholar

  4. Vladimir Rabinovich

    1. National Polytechnic Institute, ESIME Zacatenco, Mexico, Mexico

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    You can also search for this editor in PubMed   Google Scholar

  • Unique collection of carefully selected research contributions in the areas of interest of Nikolai Vasilevski
  • Papers by renowned scientists in the field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 210)

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Table of contents (15 chapters)

  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
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Keywords

About this book

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.

Editors and Affiliations

  • 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

Bibliographic Information

  • Book Title: Recent Trends in Toeplitz and Pseudodifferential Operators

  • Book Subtitle: The Nikolai Vasilevskii Anniversary Volume

  • Editors: Roland Duduchava, Israel Gohberg, Sergei M. Grudsky, Vladimir Rabinovich

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0346-0548-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2010

  • Hardcover ISBN: 978-3-0346-0547-2Published: 22 June 2010

  • eBook ISBN: 978-3-0346-0548-9Published: 04 February 2011

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: VII, 272

  • Topics: Operator Theory, General Algebraic Systems

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