Introduction to Spectral Theory

By Simone Malacrida

The following topics are presented in this book:
basic concepts of operator functional analysis
spectral theorem and spectral measurements
Stone's theorem and physical applications

• Language: English
• Publisher: Simone Malacrida
• Release date: Dec 17, 2022
• ISBN: 9798215973141

Simone Malacrida

Simone Malacrida (1977) Ha lavorato nel settore della ricerca (ottica e nanotecnologie) e, in seguito, in quello industriale-impiantistico, in particolare nel Power, nell'Oil&Gas e nelle infrastrutture. E' interessato a problematiche finanziarie ed energetiche. Ha pubblicato un primo ciclo di 21 libri principali (10 divulgativi e didattici e 11 romanzi) + 91 manuali didattici derivati. Un secondo ciclo, sempre di 21 libri, è in corso di elaborazione e sviluppo.

Book preview

Introduction to Spectral Theory

SIMONE MALACRIDA

The following topics are presented in this book:

basic concepts of operator functional analysis

spectral theorem and spectral measurements

Stone's theorem and physical applications

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Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION

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I – BASIC CONCEPTS

Definitions

Spectrum classification

Riesz theorem

Functions of self-adjoint operators

Non-negative operators

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II - SPECTRAL THEORY

The spectral theorem

Spectral and integral measurements

Spectral measurement of an operator

Stone's theorem

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III - PHYSICAL APPLICATIONS

Schrodinger equation

Harmonic Oscillator

INTRODUCTION

Spectral theory is presented in this book as a separate discipline from functional analysis.

Although spectral theory can fall within the study of functional analysis at an operational level, the importance it has assumed for the resolution of many physical problems gives it a new and broader perspective.

After having mentioned the main results in the field of