Date of Graduation
5-2014
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics (PhD)
Degree Level
Graduate
Department
Mathematical Sciences
Advisor
Daniel Luecking
Committee Member
John Akeroyd
Second Committee Member
Marco Peloso
Keywords
Bergman Spaces, Complex Analysis, Sampling Sequences
Abstract
A characterization of sampling sequences for the Bergman spaces was originally provided by Seip and later expanded upon by Schuster. We consider a generalized notion of sampling using the infimum norm of the quotient space. Adapting some old techniques, we provide a characterization of general sampling sequences in terms of the lower uniform density.
Citation
Foster, N. (2014). General Sampling Schemes for the Bergman Spaces. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/2302