Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

Nyström's method with the trapezoidal rule, and the Fourier method, produce the same approximation to the solution of an integral equation at the collocation points ...

Let (H, i, B) be an abstract Wiener space and pt be the Wiener measure on B with variance t. Let [ B ] be the complexification of B and Ea be the class of exponential type analytic functions defined ...