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1. |
Record Nr. |
UNINA9910299962003321 |
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Autore |
Alpay Daniel |
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Titolo |
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis / / by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
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ISBN |
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Edizione |
[1st ed. 2014.] |
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Descrizione fisica |
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1 online resource (107 p.) |
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Collana |
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SpringerBriefs in Mathematics, , 2191-8198 |
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Disciplina |
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Soggetti |
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Functions of complex variables |
Functional analysis |
Operator theory |
System theory |
Functions of a Complex Variable |
Functional Analysis |
Operator Theory |
Systems Theory, Control |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers, and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars, and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well |
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