Functions and Analysis


Two-Dimensional Fourier Transformations and Mordell Integrals

Authors: Martin Nicholson

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.

Comments: 10 Pages.

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Submission history

[v1] 2017-12-15 08:30:49

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