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 - Open Access

Copyright

Copyright by the authors.

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