A Local Trace Formula for the Generalized Shalika Model

Then we will apply this to show in 1.17 that the Langlands correspondence for the irreducible representations of the multiplicative groups of division algebras over a

Keywords and phrases: p-adic reductive groups, symmetric spaces, local relative trace formula, truncated kernel, orbital

Our class of operators thus includes compactly supported metric and potential perturbations of the standard harmonic oscillator on R".. Perturbations of the

In more details, Section 1.1 fixes general notations, Section 1.2 is devoted to a certain notion of norm on algebraic varieties over local fields due to Kottwitz [Kott3] that we

must exist a finite dimensional irreducible representation, V(v) say, which admits xu as an infinitesimal character. This leads one to investigate conditions under

Recently, Boufoussi and Roynette in [4], and Liang in [10] proved that the local times of Brownian motion W and the indefinite Itô stochastic integral process, as functions of x,

The most natural approach turns out to involve a 'fixed-point groupoid' associated to (/, (/)) which degenerates to the fixed-point set in the classical case when there is no

In the poof of the symbol property the words "Because of the multiplicativity, anticommutativity and Lemma 1 it is enough to prove the congruence:" should be replaced