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About this Digital Document
A multiresolution analysis is a tool used in the construction of orthogonal wavelets. The dilation equation is an equation that arises naturally when using an MRA to construct a wavelet basis. One way to understand the dilation equation, and its solution, the scaling function, is through a measure theoretic approach. By constructing a solution to the signed measure dilation equation, we give a new way of approximating the scaling function by dyadic step functions. We also give a method of controlling the support in the two-dimensional case.
Full Title
A measure theoretic approach to the construction of scaling functions for wavelets
Member of
Contributor(s)
Creator: Dumnich, Sarah - Lehigh University
Creator: Neel, Robert W. - Lehigh University
Date Issued
2016
Language
English
Type
Genre
Department name
Mathematics
Media type
Subject (LCSH)
Dumnich, . S., & Neel, . R. W. (2016). A measure theoretic approach to the construction of scaling functions for wavelets (1–). https://preserve.lehigh.edu/lehigh-scholarship/graduate-publications-theses-dissertations/theses-dissertations/measure-0
Dumnich, Sarah, and Robert W. Neel. 2016. “A Measure Theoretic Approach to the Construction of Scaling Functions for Wavelets”. https://preserve.lehigh.edu/lehigh-scholarship/graduate-publications-theses-dissertations/theses-dissertations/measure-0.
Dumnich, Sarah, and Robert W. Neel. A Measure Theoretic Approach to the Construction of Scaling Functions for Wavelets. 2016, https://preserve.lehigh.edu/lehigh-scholarship/graduate-publications-theses-dissertations/theses-dissertations/measure-0.
