Abstract: The Poorman's Transform

Appeared: C.R. Math. Rep. Acad. Sci. Canada, Vol. XII, No. 6, 1990.

A generalization of the Fourier transform is defined, which maps summable
sequences to integrable periodic functions. We examine its Hilbert space
extension and its inverse, both of which are in general unbounded operators.

Michael P. Lamoureux
University of Calgary