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Introduction to Spectral Theory : With Applications to Schrödinger Operators

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Cover of 'Introduction to Spectral Theory : With Applications to Schrödinger Operators'

Table of Contents

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    Book Overview
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    Chapter 1 The Spectrum of Linear Operators and Hilbert Spaces
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    Chapter 2 The Geometry of a Hilbert Space and Its Subspaces
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    Chapter 3 Exponential Decay of Eigenfunctions
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    Chapter 4 Operators on Hilbert Spaces
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    Chapter 5 Self-Adjoint Operators
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    Chapter 6 Riesz Projections and Isolated Points of the Spectrum
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    Chapter 7 The Essential Spectrum: Weyl’s Criterion
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    Chapter 8 Self-Adjointness: Part 1. The Kato Inequality
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    Chapter 9 Compact Operators
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    Chapter 10 Locally Compact Operators and Their Application to Schrödinger Operators
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    Chapter 11 Semiclassical Analysis of Schrödinger Operators I: The Harmonic Approximation
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    Chapter 12 Semiclassical Analysis of Schrödinger Operators II: The Splitting of Eigenvalues
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    Chapter 13 Self-Adjointness: Part 2. The Kato-Rellich Theorem
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    Chapter 14 Relatively Compact Operators and the Weyl Theorem
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    Chapter 15 Perturbation Theory: Relatively Bounded Perturbations
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    Chapter 16 Theory of Quantum Resonances I: The Aguilar-Balslev-Combes-Simon Theorem
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    Chapter 17 Spectral Deformation Theory
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    Chapter 18 Spectral Deformation of Schrödinger Operators
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    Chapter 19 The General Theory of Spectral Stability
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    Chapter 20 Theory of Quantum Resonances II: The Shape Resonance Model
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    Chapter 21 Quantum Nontrapping Estimates
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    Chapter 22 Theory of Quantum Resonances III: Resonance Width
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    Chapter 23 Other Topics in the Theory of Quantum Resonances
Attention for Chapter 16: Theory of Quantum Resonances I: The Aguilar-Balslev-Combes-Simon Theorem
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Chapter title
Theory of Quantum Resonances I: The Aguilar-Balslev-Combes-Simon Theorem
Chapter number 16
Book title
Introduction to Spectral Theory
Published by
Springer, New York, NY, January 1996
DOI 10.1007/978-1-4612-0741-2_16
Book ISBNs
978-1-4612-6888-8, 978-1-4612-0741-2
Authors

P. D. Hislop, I. M. Sigal, Hislop, P. D., Sigal, I. M.

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Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 100%
Readers by discipline Count As %
Mathematics 1 100%