Let F be a p-adic field, and Gn one of the groups GL(n, F ), GSO(2n−1, F ), GSp(2n, F ), or GSO(2(n − 1), F ). Using the mirabolic subgroup or analogues of it, and related “derivative” functors, we give an asymptotic expansion of functions in the Whittaker model of generic representations of Gn, with respect to a minimal set of characters of subgroups of the maximal torus. Denoting by Zn the ce...

1 ________________________________________________________________________ Authors' addresses: 1) Steve Whittaker, Sheffield University, Sheffield, S1 2TN, UK; 2) Quentin Jones, New Jersey Institute of Technology, Newark, NJ, 07102, USA; 3) Bonnie Nardi, University of California, Irvine, CA 92697, USA; 4) Michael Creech, BlueOak Software, Los Altos, CA, 94024, USA; 5) Loren Terveen, University ...

The principal series representations of the n-fold metaplectic covers of the general linear group GLr(F) were described in the foundational paper “Metaplectic Forms,” by Kazhdan and Patterson (1984). In this paper, we study the local coefficient matrices for a certain class of principal series representations over GL2(F), where F is a nonarchimedean local field. The local coefficient matrices c...

Here W is in the Whittaker model W(π, ψ) of a unitary generic representation π of GL(n, F) and W ′ in W(π ′, ψ) where π ′ is a unitary generic representation of GL(n − 1, F) (see below for unexplained notations). One of the difficulties of the theory is that the representations π and π ′ need not be tempered. Thus one is led to consider holomorphic fiber bundles of representations (πu) and (π ′...

In this paper, we discuss the Whittaker functions for the non-spherical principal series representations of GL(3,C). In particular, we give explicit formulas for these functions.

In this Paper we show how to use an on-line algorithm based on a multi-processKalman-filterextending ideas described in Whittaker and Frühwirth-Sehnatter (J. Whittaker, Frühwirth-Sehnatter, Appl. Stat. 43 (4) (1994)) to detect sequential Change-Points in noisy time series. We focus on types of Change-Points typically arising in biomedical Signals, i.e. jumps or drifts in nonstationary time seri...

The problem of building supersymmetry in the quantum mechanics of two Coulombian centers of force is analyzed. It is shown that there are essentially two ways of proceeding. The spectral problems of the SUSY (scalar) Hamiltonians are quite similar and become tantamount to solving entangled families of Razavy and Whittaker–Hill equations in the first approach. When the two centers have the same ...