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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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電子ブック
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2. The Mathematical Legacy of Leon Ehrenpreis
edited by Irene Sabadini, Daniele C Struppa
出版情報: Milano : Springer Milan, 2012
シリーズ名: Springer Proceedings in Mathematics ; 16
オンライン: http://dx.doi.org/10.1007/978-88-470-1947-8
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電子ブック
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3. 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
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電子ブック
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4. Advances in Hypercomplex Analysis
edited by Graziano Gentili, Irene Sabadini, Michael Shapiro, Franciscus Sommen, Daniele C. Struppa
出版情報: Milano : Springer Milan : Imprint: Springer, 2013
シリーズ名: Springer INdAM Series ; 1
オンライン: http://dx.doi.org/10.1007/978-88-470-2445-8
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C. Bisi, C. Stoppato: Regular vs. classical Mobius transformations of the quaternionic unit ball
F. Brackx, H. De Bie, Hennie De Schepper: Distributional Boundary Values of Harmonic Potentials in Euclidean Half-space as Fundamental Solutions of Convolution Operators in Clifford Analysis
F. Colombo, J.O. Gonzalez-Cervantes, M.E. Luna-Elizarraras, I. Sabadini, M. Shapiro: On two approaches to the Bergman theory for slice regular functions
C. Della Rocchetta, G. Gentili, G. Sarfatti: A Bloch- Landau Theorem for slice regular functions
M. Ku, U. Kahler, P. Cerejeiras: Dirichlet-type problems for the iterated Dirac operator on the unit ball in Clifford analysis
A. Perotti: Fueter regularity and slice regularity: meeting points for two function theories
D.C. Struppa: A note on analytic functionals on the complex light cone
M.B. Vajiac: The S-spectrum for some classes of matrices
F. Vlacci: Regular Composition for SliceRegular Functions of Quaternionic Variable
C. Bisi, C. Stoppato: Regular vs. classical Mobius transformations of the quaternionic unit ball
F. Brackx, H. De Bie, Hennie De Schepper: Distributional Boundary Values of Harmonic Potentials in Euclidean Half-space as Fundamental Solutions of Convolution Operators in Clifford Analysis
F. Colombo, J.O. Gonzalez-Cervantes, M.E. Luna-Elizarraras, I. Sabadini, M. Shapiro: On two approaches to the Bergman theory for slice regular functions
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5. 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
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電子ブック
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6. Michele Sce's Works in Hypercomplex Analysis : A Translation with Commentaries. 1st ed. 2020
by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
オンライン: https://doi.org/10.1007/978-3-030-50216-4
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目次情報: 続きを見る
1 Introduction
2 Monogenicity and total derivability in real and complex algebras
3 On systems of partial differential equations related to real algebras
4 On the variety of zero divisors in algebras
5 Remarks on the power series in quadratic modules
6 Regular functions in the Cayley algebra
Index
1 Introduction
2 Monogenicity and total derivability in real and complex algebras
3 On systems of partial differential equations related to real algebras
7.

電子ブック
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7. 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