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 ...

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 ...

Several bounds on the solutions and the pressure are obtained for regular solutions to the Navier-Stokes equations in two and three dimensions on the whole space. More precisely, we obtain L1 ...