Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and Their Applications

By Vyacheslav Pivovarchik, Manfred Moller, Manfred Möller

Book Overview

Preface.- Part I: Operator Pencils.- 1.Quadratic Operator Pencils.- 2.Applications of Quadratic Operator Pencils.- 3.Operator Pencils with Essential Spectrum.- 4.Operator Pencils with a Gyroscopic Term.- Part II: Hermite-Biehler Functions.- 5.Generalized Hermite-Biehler Functions.- 6.Applications of Shifted Hermite-Biehler Functions.- Part III: Direct and Inverse Problems.- 7.Eigenvalue Asymptotics.- 8.Inverse Problems.- Part IV: Background Material.- 9.Spectral Dependence on a Parameter.- 10.Sobolev Spaces and Differential Operators.- 11.Analytic and Meromorphic Functions.- 12.Inverse Sturm-Liouville Problems.- Bibliography.- Index.- Index of Notation.

• Format: Paperback
• Language: English
• ISBN: 3319375679
• ISBN13: 9783319375670
• Release Date: October 2016
• Publisher: Birkhauser
• Length: 412 Pages
• Weight: 1.33 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"