Prerequisite: STAT 544 and MATH 315.
Course Description: Measure theory
and integration; convergence theorems; theory of linear
spaces and functional analysis; and probability theory. The
theory of linear spaces includes normed linear spaces, inner
product spaces, Banach and Hilbert spaces, Sobelev spaces,
and reproducing kernels. Topics include wavelets, applications
to stochastic processes, and nonparametric functional
inference. f