The Continuous Wavelet Transform and Symmetric Spaces

Details The Continuous Wavelet Transform and Symmetric Spaces The Continuous Wavelet Transform and Symmetric Spaces

2001-11-08

arxiv.org/abs/math/0111100v1

Mathematics

Functional Analysis

Scientific paper

The continuous wavelet transform has become a widely used tool in applied science during the last decade. In this article we discuss some generalizations coming from actions of closed subgroups of $\mathrm{GL}(n,\mathbb{R})$ acting on $\mathbb{R}^n$. In particular, we propose a way to invert the wavelet transform in the case where the stabilizer of a generic point in $\mathbb{R}^n$ is not compact, but a symmetric subgroup, a case that has not previously been discussed in the literature.

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