The Mahler measure of an n-variable polynomial P can be defined
as the integral of log|P| over the n-dimensional unit torus T^n
with the Haar measure. While the algebraic nature of the values of
Mahler measure for the one-variable case is well...
Suppose we are given a finite subset E in an n-dimensional real
space, and a real valued function f defined on E. How to extend f
to a C^m smooth function F, defined on the entire R^n, with C^m
norm of the smallest possible order of magnitude? We...
The rational degeneration of the double affine Hecke algebras
associated to the Weyl group $W$ is a rational Cherednik algebra
$H_W$ associated to $W$. Deformed Harish-Chandra homorphism is an
analog of the Berstein-Beilinson localization for the...
