An analogue of Bochner's theorem for Damek-Ricci spaces

Sanjoy Pusti

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arXiv · 1111.3157

An analogue of Bochner's theorem for Damek-Ricci spaces

Sanjoy Pusti

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Abstract

We characterize the image of radial positive measures $\theta$'s on a harmonic $NA$ group $S$ which satisfies $\int_S\phi_0(x)\,d\theta(x)<\infty$ under the spherical transform, where $\phi_0$ is the elementary spherical function.

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Sanjoy Pusti. 2011-11-14. An analogue of Bochner's theorem for Damek-Ricci spaces. https://arxiv.org/abs/1111.3157

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