Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
8-2002
Committee Chair or Co-Chairs
James Boland, Don Hong
Committee Members
Debra J. Knisley, Robert B. Gardner
Abstract
In this thesis, all the possible semi-prewavelets over uniform refinements of regular triangulations have been studied. A corresponding theorem is given to ensure the linear independence of a set of different pre-wavelets obtained by summing pairs of these semi-prewavelets. This provides efficient multiresolutions of the spaces of functions over various regular triangulation domains since the bases of the orthogonal complements of the coarse spaces can be constructed very easily.
Document Type
Thesis - unrestricted
Recommended Citation
Xue, Qingbo, "On the Construction of Linear Prewavelets over a Regular Triangulation." (2002). Electronic Theses and Dissertations. Paper 696. https://dc.etsu.edu/etd/696
Copyright
Copyright by the authors.