Poisson Wavelets on the Sphere
In this article we summarize the basic formulas of wavelet analysis with the help of Poisson wavelets on the sphere. These wavelets have the nice property that all basic formulas of wavelet analysis as reproducing kernels, etc. may be expressed simply with the help of higher degree Poisson wavelets. This makes them numerically attractive for applications in geophysical modeling.
KeywordsHarmonic Function Wavelet Analysis Hardy Space Inversion Formula Reproduce Kernel Hilbert Space
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