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電子ブック
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1. 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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2. Operator Theory
edited by Daniel Alpay
出版情報: Basel : Springer Basel : Imprint: Springer, 2015
オンライン: http://dx.doi.org/10.1007/978-3-0348-0667-1
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General aspects of quaternionic and Clifford analysis
Further developments of quaternionic and Clifford analysis
Infinite dimensional analysis
Non-commutative theory
Multivariable operator theory
Reproducing kernel Hilbert spaces
de Branges spaces
Indefinite inner product spaces
Schur analysis
Linear system theory
General aspects of quaternionic and Clifford analysis
Further developments of quaternionic and Clifford analysis
Infinite dimensional analysis
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電子ブック
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3. An Advanced Complex Analysis Problem Book : Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions. 1st ed. 2015
by Daniel Alpay
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015
オンライン: http://dx.doi.org/10.1007/978-3-319-16059-7
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Prologue
Part I, Analytic functions
1 Some algebra
2 Exercises in complex variables
Part II, Topology and functional analysis
3 Topological spaces
4 Normed spaces
5 Locally convex topological vector spaces
6 Some functional analysis
Part III, Hilbert spaces of analytic functions
7 Reproducing kernel Hilbert spaces
8 Hardy spaces
9 de Branges-Rovnyak spaces
10 Bergman spaces
11 Fock spaces
Index
Name index
Notation index
Prologue
Part I, Analytic functions
1 Some algebra