  Fourier transformations of several functions of one and two variables are
evaluated and then used to derive some integral and series identities. It is
shown that certain double Mordell integrals can be reduced to a sum of products
of one-dimensional Mordell integrals. As a consequence of this reduction, a
quadratic polynomial identity is found connecting products of certain
one-dimensional Mordell integrals. An integral that depends on one real valued
parameter is calculated reminiscent of an integral previously calculated by
Ramanujan and Glasser. Some connections to elliptic functions and lattice sums
are discussed.
