Whittaker, V. P. (1971a) Ann. N. Y. Acad. Sci. 183, 21 Whittaker, V. P. (1971b) Advan. Cytopharmacol. 1, 319 Whittaker, V. P. (1972) in Structure and Function of Synapses (Pappas, G. D. & Purpura, D. P., eds.), Raven Press, New York Whittaker, V. P. & Barker, L. A. (1971) Methods Neurochem. 2, 1 Whittaker, V. P. & Sheridan, M. N. (1965) J. Neurochem. 12, 363 Whittaker, V. P., Michaelson, I. A. ...

Abstract. We study spherical Whittaker functions on a metaplectic cover of GL(r + 1) over a nonarchimedean local field using lattice models from statistical mechanics. An explicit description of this Whittaker function was given in terms of Gelfand-Tsetlin patterns in [5, 17], and we translate this description into an expression of the values of the Whittaker function as partition functions of ...

We study spherical Whittaker functions on a metaplectic cover of GL(r + 1) over a nonarchimedean local field using lattice models from statistical mechanics. An explicit description of this Whittaker function was given in terms of Gelfand-Tsetlin patterns in [5, 17], and we translate this description into an expression of the values of the Whittaker function as partition functions of a sixverte...

1.2. The length on Ŵ 9 1.3. Reduction modulo W 9 1.4. More notations 11 1.5. Main definition 12 2. Polynomial representation 13 2.1. Macdonald polynomials 14 2.2. Symmetric polynomials 15 2.3. Using intertwiners 16 2.4. Spherical polynomials 18 2.5. The limit t → 0 19 3. Spherical and Whittaker functions 20 3.1. Gauss-type integrals 21 3.2. Global spherical function 22 3.3. Global Whittaker fun...

We study Whittaker functions for the principal series representation of SL(n,R). We derive a system of partial differential equations characterizing our Whittaker functions. We give explicitly power series solutions at the regular singularity of the system, and integral representations of unique moderate growth Whittaker function. Introduction In this paper we explicitly determine the radial pa...

Let G be a simply connected simple Lie group over C. Let N± be the positive and the negative maximal unipotent subgroups, and H the maximal torus, corresponding to some polarization of G. Let G0 = N−HN+ be the big Bruhat cell. Let χ± : N± → C be holomorphic nondegenerate characters (i.e. they don’t vanish on simple roots). A Whittaker function on G0 with characters χ+, χ− is any holomorphic fun...

Algorithms for the explicit symbolic and numeric evaluation of Jacquet’s Whittaker function for the GL(n,R) based generalized upper halfplane for n ≥ 2, and an implementation for symbolic evaluation in the Mathematica package GL(n)pack, are described. This requires a comparison of the different definitions of Whittaker function which have appeared in the literature.

In this paper, we introduce a general family of distributions based on Whittaker function. The properties obtained distributions, moments, ordering, percentiles, and unimodality are studied. distributions’ parameters estimated using methods moments maximum likelihood. Furthermore, generalization distribution that contains wider class is developed. Validation the results applied to real life dat...