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Spectral theory on the S-Spectrum fo...

Colombo, Fabrizio.

Spectral theory on the S-Spectrum for quaternionic operators

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Spectral theory on the S-Spectrum for quaternionic operatorsby Fabrizio Colombo, Jonathan Gantner, David P. Kimsey.
作者:	Colombo, Fabrizio.
其他作者:	Gantner, Jonathan.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	ix, 356 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Spectral theory (Mathematics)
電子資源:	https://doi.org/10.1007/978-3-030-03074-2
ISBN:	9783030030742$q(electronic bk.)

Spectral theory on the S-Spectrum for quaternionic operators
Colombo, Fabrizio.

Spectral theory on the S-Spectrum for quaternionic operators[electronic resource] /by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey. - Cham :Springer International Publishing :2018. - ix, 356 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2700255-0156 ;. - Operator theory: advances and applications ;v.219..

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.

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.

ISBN: 9783030030742$q(electronic bk.)

Standard No.: 10.1007/978-3-030-03074-2doiSubjects--Topical Terms:

182365
Spectral theory (Mathematics)

LC Class. No.: QA320 / .C656 2018

Dewey Class. No.: 515.7222

Spectral theory on the S-Spectrum for quaternionic operators
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505 0 $a 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.
520 $a 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.
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