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Titlebook: Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis; Daniel Alpay,Maria Elena Luna-Elizarrarás,Daniele Boo

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發(fā)表于 2025-3-21 19:37:34 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱(chēng)Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
影響因子2023Daniel Alpay,Maria Elena Luna-Elizarrarás,Daniele
視頻videohttp://file.papertrans.cn/182/181251/181251.mp4
發(fā)行地址Offers a self-contained introduction to functional analysis with bicomplex scalars and will serve for many subsequent developments similar to those of classic functional analysis.Only book that introd
學(xué)科分類(lèi)SpringerBriefs in Mathematics
圖書(shū)封面Titlebook: Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis;  Daniel Alpay,Maria Elena Luna-Elizarrarás,Daniele  Boo
影響因子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.
Pindex Book 2014
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沙發(fā)
發(fā)表于 2025-3-21 20:40:50 | 只看該作者
2191-8198 s 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.978-3-319-05109-3978-3-319-05110-9Series ISSN 2191-8198 Series E-ISSN 2191-8201
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地板
發(fā)表于 2025-3-22 05:00:22 | 只看該作者
Book 2014nd 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
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發(fā)表于 2025-3-22 11:01:51 | 只看該作者
Book 2014 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.
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發(fā)表于 2025-3-22 13:59:38 | 只看該作者
Bicomplex and Hyperbolic Numbers,i of a bicomplex number which are not real valued: two of them are complex valued and one is hyperbolic valued. The notion of a positive hyperbolic number allows to introduce a partial order on the set of hyperbolic numbers which has far-reaching consequences in the theory of normed bicomplex module
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發(fā)表于 2025-3-23 06:14:47 | 只看該作者
The Lebedev Physics Institute SeriesIt turns out that hyperbolic valued norms are better compatible with the structure of bicomplex modules. In particular, the bicomplex valued inner products generate in a usual way: hyperbolic, not real, valued norms. As an example, the ring of biquaternions (complex quaternions) is treated as a bicomplex module.
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