Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Normalized Tight Frame Wavelet Sets

  • Received : 2014.05.01
  • Accepted : 2014.07.17
  • Published : 2015.03.23
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Abstract

We determine two-interval normalized tight frame wavelet sets for real dilation $d{\in}(1,{\infty})$, and characterize all symmetric normalized tight frame wavelet sets. We also construct a normalized tight frame wavelet set which has an infinite number of components accumulating at the origin. These normalized tight frame wavelet sets and their closures possess the same measure. Finally an example of a normalized tight frame wavelet set is provided whose measure is strictly less than the measure of its closure.

Keywords

References

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Cited by

  1. On fixed point sets of wavelet induced isomorphisms and frame induced monomorphisms vol.14, pp.03, 2016, https://doi.org/10.1142/S0219691316500168