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1.

電子ブック
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1. Noncommutative Functional Calculus : Theory and Applications of Slice Hyperholomorphic Functions
by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
出版情報: Basel : Springer Basel AG, 2011
シリーズ名: Progress in Mathematics ; 289
オンライン: http://dx.doi.org/10.1007/978-3-0348-0110-2
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2.

電子ブック
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2. Regular Functions of a Quaternionic Variable
by Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-642-33871-7
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目次情報: 続きを見る
Introduction
1.Definitions and Basic Results
2.Regular Power Series
3.Zeros
4.Infinite Products
5.Singularities
6.Integral Representations
7.Maximum Modulus Theorem and Applications
8.Spherical Series and Differential
9.Fractional Transformations and the Unit Ball
10.Generalizations and Applications
Bibliography
Index
Introduction
1.Definitions and Basic Results
2.Regular Power Series
3.

電子ブック
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3. Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-05110-9
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1. Bicomplex and hyperbolic numbers
2. Bicomplex functions and matrices
3. BC-modules
4. Norms and inner products on BC-modules
5. Linear functionals and linear operators on BC-modules
6. Schur analysis
1. Bicomplex and hyperbolic numbers
2. Bicomplex functions and matrices
3. BC-modules
4.

電子ブック
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4. Regular Functions of a Quaternionic Variable. 2nd ed. 2022
by Graziano Gentili, Caterina Stoppato, Daniele C. Struppa
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-031-07531-5
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目次情報: 続きを見る
Introduction
1.Definitions and Basic Results
2.Regular Power Series
3.Zeros
4.Infinite Products
5.Singularities
6.Integral Representations
7.Maximum Modulus Theorem and Applications
8.Spherical Series and Differential
9.Fractional Transformations and the Unit Ball
10.Generalizations
11. Function Theory over Non-symmetric Slice Domains.-12. Applications
Bibliography
Index
Introduction
1.Definitions and Basic Results
2.Regular Power Series