Operator Theory: Advances and Applications

Colombo, Fabrizio; Gantner, Jonathan; Kimsey, David P.

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.

Details

Published by: Birkhäuser

Publication Date: 2019-01-18

Format: Hardcover

ISBN-13: 9783030030735

DOI: 10.1007/978-3-030-03074-2

Dimensions: 235cm x155cm

Pages: 356