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    3. Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (repost)

    Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (repost)

    Posted By: interes
    Date: 14 Jan 2014 23:09:39
    Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions (repost)

    Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions by Fabrizio Colombo, Irene Sabadini and Daniele C. Struppa
    English | 2011 | ISBN: 3034801092 | 227 pages | PDF | 2,3 MB

    This book presents a functional calculus for -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.

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