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.

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