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V. F. Molchanov 《Acta Appl Math》2007,99(3):321-337
We define canonical representations R
λ
,
, for the Lobachevsky space ℒ=G/K of dimension n−1 where G=SO0(n−1,1), K=SO(n−1), as the restriction to G of maximal degenerate series representations of the overgroup
. We determine explicitly the interaction of Lie operators of
with operators intertwining canonical representations and representations of G associated with a cone.
Supported by the Russian Foundation for Basic Research: grants No. 05-01-00074a and No. 05-01-00001a, the Netherlands Organization
for Scientific Research (NWO): grant 047-017-015, the Scientific Program “Devel. Sci. Potent. High. School”: project RNP.2.1.1.351
and Templan No. 1.2.02. 相似文献
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