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Introduction to Spectral Theory

With Applications to Schrödinger Operators

  • Book
  • © 1996

Overview

Authors:
  1. P. D. Hislop

    1. Department of Mathematics, University of Kentucky Lexington, USA

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    You can also search for this author in PubMed   Google Scholar

  2. I. M. Sigal

    1. Department of Mathematics, University of Toronto, Toronto, Canada

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Mathematical Sciences (AMS, volume 113)

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-8
    Download chapter PDF

  2. The Spectrum of Linear Operators and Hilbert Spaces

    • P. D. Hislop, I. M. Sigal
    Pages 9-15

  3. The Geometry of a Hilbert Space and Its Subspaces

    • P. D. Hislop, I. M. Sigal
    Pages 17-25

  4. Exponential Decay of Eigenfunctions

    • P. D. Hislop, I. M. Sigal
    Pages 27-37

  5. Operators on Hilbert Spaces

    • P. D. Hislop, I. M. Sigal
    Pages 39-47

  6. Self-Adjoint Operators

    • P. D. Hislop, I. M. Sigal
    Pages 49-57

  7. Riesz Projections and Isolated Points of the Spectrum

    • P. D. Hislop, I. M. Sigal
    Pages 59-68

  8. The Essential Spectrum: Weyl’s Criterion

    • P. D. Hislop, I. M. Sigal
    Pages 69-75

  9. Self-Adjointness: Part 1. The Kato Inequality

    • P. D. Hislop, I. M. Sigal
    Pages 77-87

  10. Compact Operators

    • P. D. Hislop, I. M. Sigal
    Pages 89-98

  11. Locally Compact Operators and Their Application to Schrödinger Operators

    • P. D. Hislop, I. M. Sigal
    Pages 99-107

  12. Semiclassical Analysis of Schrödinger Operators I: The Harmonic Approximation

    • P. D. Hislop, I. M. Sigal
    Pages 109-117

  13. Semiclassical Analysis of Schrödinger Operators II: The Splitting of Eigenvalues

    • P. D. Hislop, I. M. Sigal
    Pages 119-129

  14. Self-Adjointness: Part 2. The Kato-Rellich Theorem

    • P. D. Hislop, I. M. Sigal
    Pages 131-138

  15. Relatively Compact Operators and the Weyl Theorem

    • P. D. Hislop, I. M. Sigal
    Pages 139-147

  16. Perturbation Theory: Relatively Bounded Perturbations

    • P. D. Hislop, I. M. Sigal
    Pages 149-159

  17. Theory of Quantum Resonances I: The Aguilar-Balslev-Combes-Simon Theorem

    • P. D. Hislop, I. M. Sigal
    Pages 161-175

  18. Spectral Deformation Theory

    • P. D. Hislop, I. M. Sigal
    Pages 177-186

  19. Spectral Deformation of Schrödinger Operators

    • P. D. Hislop, I. M. Sigal
    Pages 187-196

  20. The General Theory of Spectral Stability

    • P. D. Hislop, I. M. Sigal
    Pages 197-214
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Keywords

Authors and Affiliations

  • Department of Mathematics, University of Kentucky Lexington, USA

    P. D. Hislop

  • Department of Mathematics, University of Toronto, Toronto, Canada

    I. M. Sigal

Bibliographic Information

  • Book Title: Introduction to Spectral Theory

  • Book Subtitle: With Applications to Schrödinger Operators

  • Authors: P. D. Hislop, I. M. Sigal

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-0741-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1996

  • Hardcover ISBN: 978-0-387-94501-9Published: 16 November 1995

  • Softcover ISBN: 978-1-4612-6888-8Published: 09 October 2012

  • eBook ISBN: 978-1-4612-0741-2Published: 06 December 2012

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: IX, 338

  • Topics: Mathematical and Computational Engineering, Analysis

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