Spectral Theory on the S-Spectrum for Quaternionic Operators

von Fabrizio Colombo, Jonathan Gantner, David P. Kimsey

356 Seiten, Hardcover

Kurzbeschreibung des Verlags

The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.

• Reihe: Operator Theory: Advances and Applications
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Funktionalanalysis und Abwandlungen
• ISBN: 9783030030735
• Sprache: Englisch
• Erscheinungsdatum: 18.01.2019
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing