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＜電子ブック＞
Introduction to Spectral Theory : With Applications to Schrödinger Operators / by P.D. Hislop, I.M. Sigal
(Applied Mathematical Sciences. ISSN:2196968X ; 113)

版	1st ed. 1996.
出版者	New York, NY : Springer New York : Imprint: Springer
出版年	1996
本文言語	英語
大きさ	IX, 338 p : online resource
冊子体	Introduction to spectral theory : with applications to Schrödinger operators / P.D. Hislop, I.M. Sigal
著者標目	*Hislop, P.D author Sigal, I.M author SpringerLink (Online service)
件　名	LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Mathematical analysis FREE:Mathematical and Computational Engineering Applications FREE:Analysis
一般注記	1 The Spectrum of Linear Operators and Hilbert Spaces -- 2 The Geometry of a Hilbert Space and Its Subspaces -- 3 Exponential Decay of Eigenfunctions -- 4 Operators on Hilbert Spaces -- 5 Self-Adjoint Operators -- 6 Riesz Projections and Isolated Points of the Spectrum -- 7 The Essential Spectrum: Weyl’s Criterion -- 8 Self-Adjointness: Part 1. The Kato Inequality -- 9 Compact Operators -- 10 Locally Compact Operators and Their Application to Schrödinger Operators -- 11 Semiclassical Analysis of Schrödinger Operators I: The Harmonic Approximation -- 12 Semiclassical Analysis of Schrödinger Operators II: The Splitting of Eigenvalues -- 13 Self-Adjointness: Part 2. The Kato-Rellich Theorem 131 -- 14 Relatively Compact Operators and the Weyl Theorem -- 15 Perturbation Theory: Relatively Bounded Perturbations -- 16 Theory of Quantum Resonances I: The Aguilar-Balslev-Combes-Simon Theorem -- 17 Spectral Deformation Theory -- 18 Spectral Deformation of Schrödinger Operators -- 19 The General Theory of Spectral Stability -- 20 Theory of Quantum Resonances II: The Shape Resonance Model -- 21 Quantum Nontrapping Estimates -- 22 Theory of Quantum Resonances III: Resonance Width -- 23 Other Topics in the Theory of Quantum Resonances -- Appendix 1. Introduction to Banach Spaces -- A1.1 Linear Vector Spaces and Norms -- A1.2 Elementary Topology in Normed Vector Spaces -- A1.3 Banach Spaces -- A1.4 Compactness -- 1. Density results -- 2. The Hölder Inequality -- 3. The Minkowski Inequality -- 4. Lebesgue Dominated Convergence -- Appendix 3. Linear Operators on Banach Spaces -- A3.1 Linear Operators -- A3.2 Continuity and Boundedness of Linear Operators -- A3.3 The Graph of an Operator and Closure -- A3.4 Inverses of Linear Operators -- A3.5 Different Topologies on L(X) -- Appendix 4. The Fourier Transform, SobolevSpaces, and Convolutions -- A4.1 Fourier Transform -- A4.2 Sobolev Spaces -- A4.3 Convolutions -- References Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-1-4612-0741-2

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