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The Penney-Fujiwara
Plancherel formula for abelian symmetric spaces and
completely solvable homogeneous spaces
Ronald Leslie Lipsman |
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Vol. 151 (1991), No. 2, 265–295
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Abstract |
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A distribution theoretic version of the Plancherel formula for the decomposition of the quasi-regular representation of a Lie group G on L2(G∕H) is presented. The formula is proven in two situations wherein the irreducible representations that occur in the decomposition are monomial. The intertwining operator that effects the decomposition is derived in terms of integral operators that arise from the distributions. |
Mathematical Subject Classification 2000
Primary: 22E45
Secondary: 22E27, 43A85
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Milestones
Received: 18 June 1990
Published: 1 December 1991
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Authors |
| Ronald Leslie Lipsman | |
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