Overview
- 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)
About this book
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