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arXiv · 2305.00914

Inverses of Product Kernels and Flag Kernels on Graded Lie Groups

Amelia Stokolosa
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Abstract

Let $T(f) = f * K$, where $K$ is a product kernel or a flag kernel on a direct product of graded Lie groups $G= G_1 \times \cdots \times G_{\nu}$. Suppose $T$ is invertible on $L^2(G)$. We prove that its inverse is given by $T^{-1}(g) = g*L$, where $L$ is a product kernel or a flag kernel accordingly.

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Amelia Stokolosa. 2023-05-01. Inverses of Product Kernels and Flag Kernels on Graded Lie Groups. https://arxiv.org/abs/2305.00914

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