Discrete Spectra of Convolutions on Disks using Sturm-Liouville Theory

Published 15 Jan 2019 in math.FA, cs.NA, math.CA, and math.NA | (1901.05001v1)

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.

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