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Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions

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Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions - Colombo, Fabrizio, and Sabadini, Irene, and Struppa, Daniele Carlo
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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 ...

Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions 2013, Springer Basel

ISBN-13: 9783034803243

2011 edition

Paperback

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Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions 2011, Springer Basel

ISBN-13: 9783034801096

2011 edition

Hardcover

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