Continuous wavelet transforms on n-dimensional spheres

作者：Iglewska Nowak I^*

来源：Applied and Computational Harmonic Analysis, 2015, 39(2): 248-276.

DOI：10.1016/j.acha.2014.09.006

• Spherical wavelets
• n-spheres
• Singular integrals
• Approximate identities

In this paper, we are concerned with n-dimensional spherical wavelets derived from the theory of approximate identities. For nonzonal bilinear wavelets introduced by Ebert et al. in 2009 we prove isometry and Euclidean limit property. Further, we develop a theory of linear wavelets. In the end, we discuss the relationship to other wavelet constructions.

• 出版日期2015-9