The Plancherel formula for the horocycle space and generalizations

Journal of the Australian Mathematical Society

Ronald L. Lipsman¹ 

关键词: 22E46;    43A85;   

DOI  :  10.1017/S1446788700000069

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

The Plancherel formula for the horocycle space, and several generalizations, is derived within the framework of quasi-regular representations which have monomial spectrum. The proof uses only machinery from the Penney-Fujiwara distribution-theoretic technique; no special semisimple harmonic analysis is needed. The Plancherel formulas obtained include the spectral distributions and the intertwining operators that effect the direct integral decomposition of the quasi-regular representation.

【 授权许可】

Unknown