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  • © 1996

Introduction to Spectral Theory

With Applications to Schrödinger Operators

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

    • P. D. Hislop, I. M. Sigal
    Pages 131-138
  12. Relatively Compact Operators and the Weyl Theorem

    • P. D. Hislop, I. M. Sigal
    Pages 139-147
  13. Perturbation Theory: Relatively Bounded Perturbations

    • P. D. Hislop, I. M. Sigal
    Pages 149-159
  14. Spectral Deformation Theory

    • P. D. Hislop, I. M. Sigal
    Pages 177-186
  15. Spectral Deformation of Schrödinger Operators

    • P. D. Hislop, I. M. Sigal
    Pages 187-196
  16. The General Theory of Spectral Stability

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

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

Buy it now

Buying options

eBook USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access