An analogue of Bochner's theorem for Damek-Ricci spaces
classification
🧮 math.FA
keywords
sphericalthetaanaloguebochnercharacterizedamek-riccielementaryfunction
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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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