Mathematics of Computation, Vol. 80, No. 275 (JULY 2011), pp. 1525-1556 (32 pages) We investigate Riesz bases of wavelets in Sobolev spaces and their applications to numerical solutions of the ...

In an increasingly data-driven world, mathematical tools known as wavelets have become an indispensable way to analyze and understand information. Many researchers receive their data in the form of ...

For certain classes of data that may be very expensive or difficult to obtain, a new statistical technique may provide useful information from a single data run by allowing meaningful re-sampling. The ...