Article ID Journal Published Year Pages File Type
4630932 Applied Mathematics and Computation 2011 10 Pages PDF
Abstract

In the present paper we find new constructions of orthonormal multiresolution analyses on the triangle Δ. In the first one, we describe a direct method to define an orthonormal multiresolution analysis which is adapted for the study of the Sobolev spaces H0s(Δ) (s∈Ns∈N). In the second one, we add boundary conditions for constructing an orthonormal multiresolution analysis which is adapted for the study of the Sobolev spaces Hs(Δ) (s∈Ns∈N). The associated wavelets preserve the original regularity and are easy to implement.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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