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(Ebook) Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa (auth.) ISBN 9783034801096, 9783034801102, 3034801092, 3034801106

  • SKU: EBN-2114096
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Instant download (eBook) Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions after payment.
Authors:Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa (auth.)
Pages:222 pages.
Year:2011
Editon:1
Publisher:Birkhäuser Basel
Language:english
File Size:2.32 MB
Format:pdf
ISBNS:9783034801096, 9783034801102, 3034801092, 3034801106
Categories: Ebooks

Product desciption

(Ebook) Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa (auth.) ISBN 9783034801096, 9783034801102, 3034801092, 3034801106

This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.

Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.

*Free conversion of into popular formats such as PDF, DOCX, DOC, AZW, EPUB, and MOBI after payment.

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