Quaternionic de Branges Spaces and Characteristic Operator Function

by Daniel Alpay

This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) with some specific reproducing kernels, in the...

• Format: Paperback
• Language: English
• ISBN: 3030383113
• ISBN13: 9783030383114
• Release Date: January 2020
• Publisher: Springer
• Length: 116 Pages
• Weight: 0.42 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"