Title: Two-dimensional Fourier transformations and Mordell integrals,
Abstract: Several Fourier transformations of functions of one and two variables are
evaluated and then used to derive some integral and series identities. It is
shown that certain two- dimensional Mordell integrals factorize into product of
two integrals and that the square of the absolute value of the Mordell integral
can be reduced to a single one-dimensional integral. Some connections to
elliptic functions and lattice sums are discussed.