Discrete Spectra of Convolutions on Disks using Sturm-Liouville Theory

Abstract

This paper presents a systematic study for analytic aspects of discrete spectra methods for convolution of functions supported on disks, according to the Sturm-Liouville theory. We then investigate different aspects of the presented theory in the cases of zero-value boundary condition and derivative boundary condition.

arXiv comment30 pages. arXiv admin note: text overlap with arXiv:1810.12374