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Modern Analysis and Applications

The Mark Krein Centenary Conference - Volume 2: Differential Operators and Mechanics

  • Book
  • © 2009

Overview

Editors:
  1. Vadim M. Adamyan

    1. Department of Theoretical Physics, Odessa National I.I. Mechnikov University, Odessa, Ukraine

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  2. Israel Gohberg

    1. Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

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  3. Anatoly Kochubei

    1. Insitute of Mathematics, Ukrainian National Academy of Sciences, Kyiv-4, Ukraine

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  4. Gennadiy Popov

    1. Department of Mathematical Physics, Odessa National I.I. Mechnikov University, Odessa, Ukraine

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  5. Yurij Berezansky

    1. Insitute of Mathematics, Ukrainian National Academy of Sciences, Kyiv-4, Ukraine

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  6. Myroslav Gorbachuk

    1. Insitute of Mathematics, Ukrainian National Academy of Sciences, Kyiv-4, Ukraine

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  7. Valentyna Gorbachuk

    1. Insitute of Mathematics, Ukrainian National Academy of Sciences, Kyiv-4, Ukraine

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  8. Heinz Langer

    1. Institute of Analysis and Scientific Computing, Technical University of Vienna, Vienna, Austria

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  • Wide panorama of the development of functional analysis, operator theory, and their applications
  • Many contributions by active members of scientific schools founded by Mark Krein
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 191)

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Table of contents (32 chapters)

  1. Front Matter

    Pages i-ix
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  2. The World Dimension of the Heritage of a Ukrainian Mathematician

    1. The World Dimension of the Heritage of a Ukrainian Mathematician

      • Yu. Berezansky, V. Gorbachuk
      Pages xi-xv

  3. Plenary Talks

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Bilateral Asymptotic Solution of One Class of Dual Integral Equations of the Static Contact Problems for the Foundations Inhomogeneous in Depth

      • Sergey Aizikovich, Victor Alexandrov, Irina Trubchik
      Pages 3-17

    3. Krein Systems

      • D. Alpay, I. Gohberg, M. A. Kaashoek, L. Lerer, A. Sakhnovich
      Pages 19-36

    4. Spectral Theory of the Infinite Block Jacobi Type Normal Matrices, Orthogonal Polynomials on a Complex Domain, and the Complex Moment Problem

      • Yu.M. Berezansky
      Pages 37-50

    5. On Geometrical and Analytical Aspects in Formulations of Problems of Classic and Non-classic Continuum Mechanics

      • George L. Brovko, Olga A. Ivanova, Alexandra S. Finoshkina
      Pages 51-79

    6. Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

      • Fritz Gesztesy, Marius Mitrea
      Pages 81-113

    7. On Behavior of Weak Solutions of Operator Differential Equations on (0, ∞)

      • M. L. Gorbachuk, V. I. Gorbachuk
      Pages 115-126

    8. Some Modern Methods in Mechanics of Cracks

      • Mikhail A. Grekov, Nikita F. Morozov
      Pages 127-142

    9. A Method of the Green’s Functions for Quasistatic Thermoelasticity Problems in Layered Thermosensitive Bodies under Complex Heat Exchange

      • Roman Kushnir, Borys Protsiuk
      Pages 143-154

    10. On the Application of the M.G. Krein Method for the Solution of Integral Equations in Contact Problems in Elasticity Theory

      • S. M. Mkhitaryan
      Pages 155-171

    11. The Stress Concentration in the Neighborhood of the Spherical Crack Inside the Infinite Elastic Cone

      • Gennadiy Popov, Nataly Vaysfel’d
      Pages 173-186

    12. Pseudospectral Functions for Canonical Differential Systems

      • J. Rovnyak, L.A. Sakhnovich
      Pages 187-219

    13. On Wave Hyperbolic Model for Disturbance Propagation in Magnetic Fluid

      • Igor Selezov
      Pages 221-225
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Keywords

Editors and Affiliations

  • Department of Theoretical Physics, Odessa National I.I. Mechnikov University, Odessa, Ukraine

    Vadim M. Adamyan

  • Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel

    Israel Gohberg

  • Insitute of Mathematics, Ukrainian National Academy of Sciences, Kyiv-4, Ukraine

    Anatoly Kochubei, Yurij Berezansky, Myroslav Gorbachuk, Valentyna Gorbachuk

  • Department of Mathematical Physics, Odessa National I.I. Mechnikov University, Odessa, Ukraine

    Gennadiy Popov

  • Institute of Analysis and Scientific Computing, Technical University of Vienna, Vienna, Austria

    Heinz Langer

Bibliographic Information

  • Book Title: Modern Analysis and Applications

  • Book Subtitle: The Mark Krein Centenary Conference - Volume 2: Differential Operators and Mechanics

  • Editors: Vadim M. Adamyan, Israel Gohberg, Anatoly Kochubei, Gennadiy Popov, Yurij Berezansky, Myroslav Gorbachuk, Valentyna Gorbachuk, … Heinz Langer

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-7643-9921-4

  • Publisher: Birkhäuser Basel

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

  • Copyright Information: Birkhäuser Basel 2009

  • Hardcover ISBN: 978-3-7643-9920-7Published: 13 May 2009

  • eBook ISBN: 978-3-7643-9921-4Published: 29 August 2009

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XV, 520

  • Topics: Analysis, Operator Theory, Functional Analysis, Integral Equations

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