Article ID Journal Published Year Pages File Type
4593723 Journal of Number Theory 2015 6 Pages PDF
Abstract

Let F   be a non-archimedean field, let g=gl(n,F)g=gl(n,F) and let kk be the lattice of matrices whose coefficients are integers. Consider a function f   on gg whose orbital integrals are supported on elements with integral eigenvalues and such that the Fourier transform of f has the same property. Then the orbital integrals of f   are equal to the orbital integrals of the characteristic function of kk, up to a constant.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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