Segal-Bargmann Transform and Paley-Wiener Theorems on Motion Groups
classification
🧮 math.FA
keywords
motionpaley-wienersegal-bargmanntransformassociatedcharacterizationcompactcomplexified
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We study the Segal-Bargmann transform on a motion group Rn n K; where K is a compact subgroup of SO(n): A characterization of the Poisson integrals associated to the Laplacian on Rn n K is given. We also establish a Paley-Wiener type theorem using the complexified representations.
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