Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions
Numerical Analysis
2017-10-10 v1 Numerical Analysis
Abstract
Generalized Prolate Spheroidal Functions (GPSF) are the eigenfunctions of the truncated Fourier transform, restricted to D-dimensional balls in the spatial domain and frequency domain. Despite their useful properties in many applications, GPSFs are often replaced by crude approximations. The purpose of this paper is to review the elements of computing GPSFs and associated eigenvalues. This paper is accompanied by open-source code.
Keywords
Cite
@article{arxiv.1710.02874,
title = {Numerical Algorithms for the Computation of Generalized Prolate Spheroidal Functions},
author = {Roy R. Lederman},
journal= {arXiv preprint arXiv:1710.02874},
year = {2017}
}