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A continuous spherical wavelet transform for~$\mathcal C(\mathcal S^n)$

Classical Analysis and ODEs 2018-06-22 v1 Mathematical Physics Functional Analysis math.MP

Abstract

In the present paper, a wavelet family over the nn-dimensional sphere is constructed such that for each scale the wavelet is a polynomial and the inverse wavelet transform of a continuous function converges in the supremum norm.

Keywords

Cite

@article{arxiv.1806.07881,
  title  = {A continuous spherical wavelet transform for~$\mathcal C(\mathcal S^n)$},
  author = {Ilona Iglewska-Nowak},
  journal= {arXiv preprint arXiv:1806.07881},
  year   = {2018}
}

Comments

8 pages

R2 v1 2026-06-23T02:36:23.971Z