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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
Quaternionic Approximation
Language: en
Pages: 221
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
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
Spectral Theory on the S-Spectrum for Quaternionic Operators
Language: en
Pages: 356
Authors: Fabrizio Colombo
Categories: Mathematics
Type: BOOK - Published: 2019-01-04 - Publisher: Springer

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The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained
Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes
Language: en
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Authors: Fabrizio Colombo
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Type: BOOK - Published: 2019-07-10 - Publisher: Springer

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This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define