Abstract
As discussed in Chapter 1, functions analytic and contractive in the open unit disk, the Schur functions, are part of classical mathematics, as is illustrated by the works of Schur [261, 262], Takagi [270, 271], and Bloch [98], to name a few. They play an important role in numerous areas of mathematics, and can be characterized in a number of ways. By the name Schur analysis one means a collection of problems pertaining to Schur functions in function theory, operator theory, and related fields. In this chapter we gather the main aspects in this setting useful to the reader in preparation for the quaternionic generalization presented in this book.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Alpay, D., Colombo, F., Sabadini, I. (2016). Schur Analysis. In: Slice Hyperholomorphic Schur Analysis. Operator Theory: Advances and Applications, vol 256. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-42514-6_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-42514-6_3
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-42513-9
Online ISBN: 978-3-319-42514-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)