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[null,"1.","Record Nr.",null,"UNINA9910309663703321"]
[null,null,"Autore",null,"Colombo Fabrizio"]
[null,null,"Titolo",null,"Spectral Theory on the S-Spectrum for Quaternionic Operators / / by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018"]
[null,null,"ISBN",null,"3-030-03074-1"]
[null,null,"Edizione",null,"[1st ed. 2018.]"]
[null,null,"Descrizione fisica",null,"1 online resource (IX, 356 p.)"]
[null,null,"Collana",null,"Operator Theory: Advances and Applications, , 2296-4878 ; ; 270"]
[null,null,"Disciplina",null,"515.724"]
[null,null,"Soggetti",null,"Operator theory"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"Functional analysis"]
[{"$nulls":4},"Operator Theory"]
[{"$nulls":4},"Dynamical Systems"]
[{"$nulls":4},"Functional Analysis"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Introduction -- Slice hyperholomorphic functions -- The S-spectrum and the S-functional calculus -- Properties of the S-functional calculus for bounded operators -- The S-functional calculus for unbounded operators -- The H1 functional calculus -- The F-functional calculus for bounded operators -- The F-functional calculus for unbounded operators -- Quaternionic operators on a Hilbert space -- Spectral integrals -- The spectral theorem for bounded normal operators -- The spectral theorem for unbounded normal operators -- Spectral theorem for unitary operators -- Spectral Integration in the Quaternionic Setting -- Bounded Quaternionic Spectral Operators."]
[null,null,null,"Sommario/riassunto","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."]