• Anglický jazyk

The large scale space N\G and the support of Plancherel measure

Autor: Tang U-Liang

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... Viac o knihe

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O knihe

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 N\G. 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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