Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis / by Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2014 |
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| 書誌ID | OB01023533 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 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. License restrictions may limit access Summary: 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 known Schur analysis |
| 著者標目 | *Alpay, Daniel Luna-Elizarrarás, Maria Elena Shapiro, Michael Struppa, Daniele C SpringerLink (Online service) |
| 統一書名標目 | SpringerBriefs in Mathematics, |
| 件 名 | LCSH:Mathematics LCSH:Functional analysis LCSH:Functions of complex variables LCSH:Operator theory LCSH:Systems theory FREE:Mathematics FREE:Functions of a Complex Variable FREE:Functional Analysis FREE:Operator Theory FREE:Systems Theory, Control |
| 分 類 | LCC:QA331-355 DC23:515.9 |
| 巻冊次 | ISBN:9783319051109 RefWorks出力（各巻） print ; ISBN:9783319051093 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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※2020年8月16日以降