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.
Paperback
Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
ISBN-13:
9783659264054
Veröffentl:
2012
Einband:
Paperback
Erscheinungsdatum:
19.10.2012
Seiten:
88
Autor:
Tang U-Liang
Gewicht:
149 g
Format:
220x150x6 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.