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

• Main Authors: Möller, Manfred (Author), Pivovarchik, Vyacheslav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Series: Operator Theory: Advances and Applications, 246
• Subjects: Mathematics.; Operator theory.; Differential equations.; Mathematical physics.; Operator Theory.; Ordinary Differential Equations.; Mathematical Physics.

The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra. The second part is devoted to applications. Standard spectral problems in Hilbert spaces are of the form A-λI for an operator A,...