Discrete Spectra of Convolutions on Disks using Sturm-Liouville Theory
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arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866917874441912320 |
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| author | Farashahi, Arash Ghaani Chirikjian, Gregory S. |
| author_facet | Farashahi, Arash Ghaani Chirikjian, Gregory S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_05001 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Discrete Spectra of Convolutions on Disks using Sturm-Liouville Theory Farashahi, Arash Ghaani Chirikjian, Gregory S. Functional Analysis Numerical Analysis Classical Analysis and ODEs Primary 34B24, 42C05, 43A30, 43A85, Secondary 43A10, 43A15, 43A20 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. |
| title | Discrete Spectra of Convolutions on Disks using Sturm-Liouville Theory |
| topic | Functional Analysis Numerical Analysis Classical Analysis and ODEs Primary 34B24, 42C05, 43A30, 43A85, Secondary 43A10, 43A15, 43A20 |
| url | https://arxiv.org/abs/1901.05001 |