Abstract
Reproducing kernel Hilbert spaces \(\mathcal{B}(\mathfrak{E})\) of vector-valued entire functions and reproducing kernel
based on an entire matrix-valued function \(\mathfrak{E}(\lambda)\;=\;[E_{-}(\lambda)\quad E_{+}(\lambda)]\;\mathrm{with} \;p \times p\) blocks \(E_{\pm}(\lambda)\) were introduced and extensively studied by Louis de Branges. In this paper a new subclass of the matrices \(\mathfrak{E}(\lambda)\) is introduced and its relation to other subclasses that were presented earlier is discussed.
To Daniel on the occasion of his sixtieth birthday, with our best wishes
Mathematics Subject Classification (2000). 46E22, 47B32, 30H99
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Arov, D.Z., Dym, H. (2017). Classes of de Branges Matrices and Corresponding de Branges Spaces. In: Colombo, F., Sabadini, I., Struppa, D., Vajiac, M. (eds) Advances in Complex Analysis and Operator Theory. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-62362-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-62362-7_1
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-62361-0
Online ISBN: 978-3-319-62362-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)