Multivariate Integration of Infinitely Many Times Differentiable Functions in Weighted Korobov Spaces.

Henryk Wozniakowski, Columbia Univ.

We study multivariate integration for a weighted Korobov space
of periodic infinitely many times differentiable functions for
which the Fourier coefficients decay exponentially fast.
We find necessary and sufficient conditions on uniform exponential
convergence with weak, polynomial and strong polynomial tractability in the worst case setting.

This is joint work with Peter Kritzer and Friedrich Pillichshammer