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The large scale space NG and the support of Plancherel measure
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The large scale space NG and the support of Plancherel measure

The Plancherel decomposition of functions invariant up to a unitary character of the unipotent subgroup of G.
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ISBN-13:
9783659264054
Einband:
.
Seiten:
88
Autor:
Tang U-Liang
Format:
220x150x mm
Sprache:
Englisch
Beschreibung:

In his second book Real Reductive Groups II, Nolan Wallach obtained the Plancherel formula for the space of functions invariant up to a unitary character of the maximal unipotent subgroup and essentially square integrable on the large scale real homogeneous space NG. A similar result for p-adic groups should hold true as well but had not (at the point of writing) been published in the literature. This work by the present author is a modest attempt in addressing this gap. The issues arising in proving the Plancherel formula in the p-adic case are resolved by algebraic arguments and are relatively elementary in nature. We hope that these may yield insights into solving issues that still arise in the real case.

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