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Entire Slice Regular Functions
Language: en
Pages: 121
Authors: Fabrizio Colombo
Categories: Mathematics
Type: BOOK - Published: 2016-12-08 - Publisher: Springer

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This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the nece
Regular Functions of a Quaternionic Variable
Language: en
Pages: 302
Authors: Graziano Gentili
Categories: Mathematics
Type: BOOK - Published: 2022-09-23 - Publisher: Springer Nature

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This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalization
Noncommutative Functional Calculus
Language: en
Pages: 228
Authors: Prof. Fabrizio Colombo Politecnico di Milano
Categories: Mathematics
Type: BOOK - Published: 2011-03-18 - Publisher: Springer Science & Business Media

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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 linea
Quaternionic Approximation
Language: en
Pages: 228
Authors: Sorin G. Gal
Categories: Mathematics
Type: BOOK - Published: 2019-04-12 - Publisher: Springer

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This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalit
Topics in Clifford Analysis
Language: en
Pages: 509
Authors: Swanhild Bernstein
Categories: Mathematics
Type: BOOK - Published: 2019-10-15 - Publisher: Springer Nature

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Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the