3 papers
math.NA2020
Computing spectral measures of self-adjoint operators
Matthew J. Colbrook, Andrew Horning, Alex Townsend
Using the resolvent operator, we develop an algorithm for computing smoothed approximations of spectral measures associated with self-adjoint operators. The algorithm can achieve a…
math.SP2019
Computing Spectral Measures and Spectral Types
Matthew John Colbrook
Spectral measures arise in numerous applications such as quantum mechanics, signal processing, resonances, and fluid stability. Similarly, spectral decompositions (pure point, abso…
math.ST2018
Kernel Density Estimation with Linked Boundary Conditions
Matthew J. Colbrook, Zdravko I. Botev, Karsten Kuritz +1
Kernel density estimation on a finite interval poses an outstanding challenge because of the well-recognized bias at the boundaries of the interval. Motivated by an application in…