The large scale space N\G and the support of Plancherel measure : The Plancherel decomposition of functions invariant up to a unitary character of the unipotent subgroup of G.

ISBN-13: 9783659264054 / Angielski / Miękka / 2012 / 88 str.

Tang U-Liang

Opis

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.

O autorze

Tang U-Liang obtained his Phd. from the National University of Singapore doing work in the representation theory of p-adic groups. This is his graduating thesis. Currently he is teaching in Singapore Polytechnic, Singapore.