The s-elementary wavelets are path-connected

Speegle, D.

doi:10.1090/S0002-9939-99-04555-4

The s-elementary wavelets are path-connected
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by D. M. Speegle

Proc. Amer. Math. Soc. 127 (1999), 223-233

DOI: https://doi.org/10.1090/S0002-9939-99-04555-4

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Abstract:

A construction of wavelet sets containing certain subsets of $\mathbb {R}$ is given. The construction is then modified to yield a continuous dependence on the underlying subset, which is used to prove the path-connectedness of the s-elementary wavelets. A generalization to $\mathbb {R}^n$ is also considered.

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