Authors:
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 introduces a new hyperbolic valued norm on bicomplex modules which is crucial in obtaining some of the most important results in the book
First book in which Schur analysis is introduced in the bicomplex context
Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (6 chapters)
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Front Matter
About this book
Keywords
- Schur analysis
- bicomplex functional analysis
- bicomplex modules
- bicomplex numbers
- hyperbolic valued norm
Authors and Affiliations
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Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel
Daniel Alpay
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Departamento de Matemáticas, ESFM-IPN, Mexico D.F., Mexico
Maria Elena Luna-Elizarrarás, Michael Shapiro
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Schmid college of Science and Technology, Chapman University, Orange, USA
Daniele C. Struppa
Bibliographic Information
Book Title: Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
Authors: Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-05110-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2014
Softcover ISBN: 978-3-319-05109-3Published: 04 April 2014
eBook ISBN: 978-3-319-05110-9Published: 19 March 2014
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XV, 95
Number of Illustrations: 3 illustrations in colour
Topics: Functions of a Complex Variable, Functional Analysis, Operator Theory, Systems Theory, Control