Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes

• Κύριοι συγγραφείς: Colombo, Fabrizio (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Gantner, Jonathan (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Operator Theory: Advances and Applications, 274
• Θέματα: Operator theory.; Operator Theory.
• Φυσική περιγραφή: VIII, 322 p. online resource.
• ISBN: 9783030164096
• ISSN: 0255-0156 ;
• DOI: 10.1007/978-3-030-16409-6

This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. These innovative methods and techniques, based on the concept of S-spectrum, can inspire researchers from various areas of operator theory and PDEs to explore new research directions in their fields. This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey (Operator Theory: Advances and Applications, Vol. 270).