| dc.contributor.advisor | Deeter, Charles R. | |
| dc.contributor.author | Perry, Edward L. | en_US |
| dc.date.accessioned | 2019-10-11T15:11:02Z | |
| dc.date.available | 2019-10-11T15:11:02Z | |
| dc.date.created | 1970 | en_US |
| dc.date.issued | 1970 | en_US |
| dc.identifier | aleph-255068 | en_US |
| dc.identifier.uri | https://repository.tcu.edu/handle/116099117/33812 | |
| dc.description.abstract | In 1965, Duffin described properties of discrete functions. In this dissertation, integrals defined by Duffin are used to develop a theory of discrete generalized functions. This development parallels the development of conventional generalized functions by Lighthill. Applications of the discrete generalized function theory to the study of operators are described. It is also shown that certain difference equations may be solved by methods adopted from the study of discrete generalized functions. | |
| dc.format.extent | iii, 53 leaves, bound | en_US |
| dc.format.medium | Format: Print | en_US |
| dc.language.iso | eng | en_US |
| dc.relation.ispartof | Texas Christian University dissertation | en_US |
| dc.relation.ispartof | AS38.P48 | en_US |
| dc.subject.lcsh | Theory of distributions (Functional analysis) | en_US |
| dc.title | Discrete generalized functions | en_US |
| dc.type | Text | en_US |
| etd.degree.department | Department of Mathematics | |
| etd.degree.level | Doctoral | |
| local.college | College of Science and Engineering | |
| local.department | Mathematics | |
| local.academicunit | Department of Mathematics | |
| dc.type.genre | Dissertation | |
| local.subjectarea | Mathematics | |
| dc.identifier.callnumber | Main Stacks: AS38 .P48 (Regular Loan) | |
| dc.identifier.callnumber | Special Collections: AS38 .P48 (Non-Circulating) | |
| etd.degree.name | Doctor of Philosophy | |
| etd.degree.grantor | Texas Christian University | |
