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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

    View author publications

    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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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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