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Abstract Plancherel theorems and a Frobenius reciprocity theorem. (English) Zbl 0305.22016


MSC:

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
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References:

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[10] Pukanszky, L., Representations of solvable Lie groups, Ann. Sci. École Norm. Sup., 4, 464-608 (1971) · Zbl 0238.22010
[11] Richardson, L. F., Decomposition of the \(L^2\) space of a general compact nilmanifold, Am. J. Math., 93, 173-190 (1971) · Zbl 0265.43012
[12] Steinspring, W. F., Integrability of Fourier transforms for unimodular Lie groups, Duke Math. J., 26, 123-131 (1959) · Zbl 0085.10301
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