Titlebook: Introduction to Spectral Theory; With Applications to P. D. Hislop,I. M. Sigal Book 1996 Springer Science+Business Media New York 1996 Four

深淵

,Spectral Deformation of Schr?dinger Operators,ms. Our main application is to the semiclassical theory of shape resonances. For this, we need to study the behavior of Schr?dinger operators under spectral deformations. In this chapter, we first study the effect of local deformations on the Laplacian and its spectrum. We then show that the effect

Missile

Biomarker

The Spectrum of Linear Operators and Hilbert Spaces,rator on a Banach space. This operator is crucial to the definition of the spectrum. We define the spectrum and give some of its properties. We then specialize to Hilbert spaces and develop their basic characteristics in this and the following chapter.

ENNUI

SUE

Self-Adjointness: Part 1. The Kato Inequality,tials are self-adjoint. After discussing in Chapters 11 and 12 the semiclassical analysis of eigenvalues for Schr?dinger operators with positive, growing potentials, we will return to the question of self-adjointness in Chapter 13 and present the Kato-Rellich theory.

ECG769