Alpay / Luna-Elizarrarás / Shapiro Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
2014
ISBN: 978-3-319-05110-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 95 Seiten, eBook
Reihe: SpringerBriefs in Mathematics
ISBN: 978-3-319-05110-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
