Formulae for two-variable Green functions
نویسندگان
چکیده
Based on results of Digne-Michel-Lehrer (2003) we give two formulae for two-variable Green functions attached to Lusztig induction in a finite reductive group. We present applications explicit computation these functions, conjectures Malle and Rotilio, scalar products between inductions Gelfand-Graev characters.
منابع مشابه
Recursion Formulae for Hypergeometric Functions
indicates the term corresponding to j = h is to be deleted. If one of the a, = 0 or a negative integer, then (1) always converges, since it terminates. Otherwise it converges for all finite x if P ^ Q and for |a;| < 1 if P = Q + 1. In this case, however, the function can be analytically continued into the cut plane |arg (1 — a;)| < x, and we shall often denote by q+iFq(x) not only the series (1...
متن کاملUniform asymptotic formulae for Green ’ s functions in singularly perturbed domains
Asymptotic formulae for Green’s functions for the operator −∆ in domains with small holes are obtained. A new feature of these formulae is their uniformity with respect to the independent variables. The cases of multi-dimensional and planar domains are considered.
متن کاملReduction Formulae for Products of Theta Functions
In four cases it is already known that the product of two distinct Jacobian theta functions having the same variable z and the same nome q is a multiple of a single Jacobian theta function, with the multiple independent of z. The main purpose of the present note is to show that this property also applies in the remaining two cases.
متن کاملRegularity Conditions for Formulae of Biconjugate Functions
When the dual of a normed space X is endowed with the weak∗ topology, the biconjugates of the proper convex lower semicontinuous functions defined on X coincide with the functions themselves. This is not the case when X∗ is endowed with the strong topology. Working in the latter framework, we give formulae for the biconjugates of some functions that appear often in convex optimization, which ho...
متن کاملGaussian extended cubature formulae for polyharmonic functions
The purpose of this paper is to show certain links between univariate interpolation by algebraic polynomials and the representation of polyharmonic functions. This allows us to construct cubature formulae for multivariate functions having highest order of precision with respect to the class of polyharmonic functions. We obtain a Gauss type cubature formula that uses m values of linear functiona...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2022
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2022.06.024