Noncommutative Functional Calculus formatIsbn:Hardcover - 9783034801096 bit by bit

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Noncommutative Functional Calculus formatIsbn:Hardcover - 9783034801096 bit by bit<i>This book presents a functional calculus for <i>n< i> 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