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The Fourier transform for nilpotent locally compact groups. I. (English) Zbl 0396.43013

MSC:
43A25 Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
22D10 Unitary representations of locally compact groups
22E25 Nilpotent and solvable Lie groups
22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
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