Inverses of product kernels and flag kernels on graded Lie groups
Abstract
Let $T(f) = f * K$, where $K$ is a product kernel or a flag kernel on a direct product of graded Lie groups $G= G_1 \times \cdots \times G_ν$. 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.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Mathematical Analysis and Transform Methods
advanced mathematical theories
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Volume
- 563
- Issue
- 2
- Pages
- 130800–130800
- Publication date
- 14 May 2026
- Language
- EN