Date of Graduation
5-2014
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics (PhD)
Degree Level
Graduate
Department
Mathematical Sciences
Advisor/Mentor
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