Ghaani Farashahi, A orcid.org/0000-0003-1580-512X and Chirikjian, GS (2020) Discrete spectra of convolutions of compactly supported functions on SE(2) using Sturm–Liouville theory. Integral Transforms and Special Functions, 31 (1). pp. 36-61. ISSN 1065-2469
Abstract
This paper introduces a systematic study for analytic aspects of discrete spectra methods for functions supported on some compact domains of SE(2), according to Sturm–Liouville theory. We then apply these discrete spectra methods to approximate convolution of functions supported on these compact domains. We shall also investigate different aspects of the presented theory in the cases of zero-value boundary condition and derivative boundary condition. The paper is concluded by some Plancherel formulas associated to Sturm–Liouville theory and special cases of boundary conditions.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Keywords: | Convolution on 2D special Euclidean group; Sturm–Liouville theory; zero-valued boundary condition; derivative boundary condition; Plancherel formula |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 10 Mar 2020 10:56 |
Last Modified: | 10 Mar 2020 10:56 |
Status: | Published |
Publisher: | Taylor & Francis |
Identification Number: | 10.1080/10652469.2019.1655644 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:158241 |