The Mikusinski operational calculus
| dc.contributor.committeeMember | Brand, Louis | |
| dc.contributor.committeeMember | McKinley, James | |
| dc.creator | Edwards, Don A. | |
| dc.date.accessioned | 2023-01-17T17:15:16Z | |
| dc.date.available | 2023-01-17T17:15:16Z | |
| dc.date.issued | 1964 | |
| dc.description.abstract | The Mikusinski Operational Calculus is derived from a commutative ring of continuous functions a, b, ... in which the addition and multiplication (convolution) operations are a + b = {a(t) + b(t)} ab = {[integral 0 to t]a(t-[tau]b([tau])d[tau]}. By the Theorem of Titchmarsh, this ring has no divisors of zero-if ab = 0, then a = 0 or b = 0. Thus the ring may be extended to a field of convolution quotients a/b, b / 0. Here a/b is of an equivalence class such that [...] | |
| dc.description.department | Mathematics, Department of | |
| dc.format.digitalOrigin | reformatted digital | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.other | 13683472 | |
| dc.identifier.uri | https://hdl.handle.net/10657/13409 | |
| dc.language.iso | en | |
| dc.rights | This item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder. | |
| dc.title | The Mikusinski operational calculus | |
| dc.type.dcmi | Text | |
| dc.type.genre | Thesis | |
| thesis.degree.department | Mathematics, Department of | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | University of Houston | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science |
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