Abstract
Dutkay and Jorgensen developed the concept of wavelets on a σ-finite fractal measure space and demonstrated how to construct fractal wavelets on their enlarged fractal spaces using finite-dimensional orthonormal bases by detailing their construction on an enlarged Cantor fractal space. Their fractal wavelet construction was studied further by D'Andrea, Merrill, and Packer who provided details for constructing fractal wavelets on an enlarged Sierpinski gasket space. Motivated by the correspondence between finite-dimensional orthonormal bases with multi resolution analyses on these enlarged fractal spaces, in this paper we provide a construction for wavelet frames on the enlarged fractal spaces of Dutkay and Jorgensen using finite-dimensional frames.
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