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|a 9783030030742
|9 978-3-030-03074-2
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|a 10.1007/978-3-030-03074-2
|2 doi
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|a QA329-329.9
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|a 515.724
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|a Colombo, Fabrizio.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Spectral Theory on the S-Spectrum for Quaternionic Operators
|h [electronic resource] /
|c by Fabrizio Colombo, Jonathan Gantner, David P. Kimsey.
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|a 1st ed. 2018.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Birkhäuser,
|c 2018.
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|a IX, 356 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Operator Theory: Advances and Applications,
|x 0255-0156 ;
|v 270
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|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.
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|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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|a Operator theory.
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|a Dynamics.
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|a Ergodic theory.
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|a Functional analysis.
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|a Operator Theory.
|0 http://scigraph.springernature.com/things/product-market-codes/M12139
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|a Dynamical Systems and Ergodic Theory.
|0 http://scigraph.springernature.com/things/product-market-codes/M1204X
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|a Functional Analysis.
|0 http://scigraph.springernature.com/things/product-market-codes/M12066
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|a Gantner, Jonathan.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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1 |
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|a Kimsey, David P.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783030030735
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|i Printed edition:
|z 9783030030759
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|a Operator Theory: Advances and Applications,
|x 0255-0156 ;
|v 270
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|u https://doi.org/10.1007/978-3-030-03074-2
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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