Abstract
As already said, Bergman spaces seem to form the first example of reproducing kernel Hilbert spaces of analytic functions. In this chapter we discuss the case of the disk and the polyanalytic cases. More involved cases, such as the annulus and the ellipse, are only mentioned en passant. We urge the reader to look at these cases.
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
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Alpay, D. (2015). Bergman Spaces. In: An Advanced Complex Analysis Problem Book. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-16059-7_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-16059-7_10
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-16058-0
Online ISBN: 978-3-319-16059-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)