Date of Award
1-1-2012
Language
English
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
College/School/Department
Department of Mathematics and Statistics
Content Description
1 online resource (vi, 78 pages) : illustrations (some color)
Dissertation/Thesis Chair
Michael Stessin
Committee Members
Kehe Zhu, Rongwei Yang
Keywords
Holomorphic functions, Linear operators, Hardy spaces, Sobolev spaces, Bergman spaces
Subject Categories
Physical Sciences and Mathematics
Abstract
This paper addresses the optimal estimation of functions from Hilbert spaces of functions on the unit disc. The estimation, or recovery, is performed from inaccurate information given by a linear information operator. The information operators considered are of integration type, along radial and secant paths. The results are applied to the Hardy-Sobolev and Bergman-Sobolev classes.
Recommended Citation
Degraw, Arthur James, "Optimal recovery of holomorphic functions from inaccurate information about integration type operators" (2012). Legacy Theses & Dissertations (2009 - 2024). 540.
https://scholarsarchive.library.albany.edu/legacy-etd/540