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Noncommutative Functional Calculus

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2026-08-08 2026-08-15

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SP SpringerNatureLink Shop INT	7 149,00 JPY	29,00 JPY	7 178,00 JPY	在庫あり	3日前	View offer
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SP SpringerNatureLink Shop INT	54,99 USD	25,00 USD	79,99 USD	在庫あり	3日前	View offer
SP SpringerNatureLink Shop INT	59,00 EUR	19,00 EUR	78,00 EUR	在庫あり	3日前	View offer

価格や在庫状況は変更される場合があります。最終更新: 08.08.2026 23:08.

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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 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.