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DC Field | Value | Language |
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dc.date.accessioned | 2022-09-02T10:47:33Z | - |
dc.date.available | 2022-09-02T10:47:33Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Spiteri, M. (2022). An introduction to the theory of distributions (Bachelor’s dissertation). | en_GB |
dc.identifier.uri | https://www.um.edu.mt/library/oar/handle/123456789/101432 | - |
dc.description | B.Sc. (Hons)(Melit.) | en_GB |
dc.description.abstract | When working with differential equations, it can be seen that a solution could not always be found. As centuries passed, the notion of the δ "function" started taking shape, as it could help solve these differential equations. Notable mathematicians such as Oliver Heaviside and George Green making contributions towards it. It was not until the early 20th century when P.A.M Dirac used it to further our understanding of Quantum Mechanics. This prompted a need for an entire theory centred around these type of functionals, named "distributions". In this dissertation we will discuss the theory behind distributions as well as arrive to one of its most important theorems, The Ehrenpreis-Malgrange Theorem. | en_GB |
dc.language.iso | en | en_GB |
dc.rights | info:eu-repo/semantics/restrictedAccess | en_GB |
dc.subject | Differential equations | en_GB |
dc.subject | Fourier transformations | en_GB |
dc.subject | Convergence | en_GB |
dc.subject | Theory of distributions (Functional analysis) | en_GB |
dc.title | An introduction to the theory of distributions | en_GB |
dc.type | bachelorThesis | en_GB |
dc.rights.holder | The copyright of this work belongs to the author(s)/publisher. The rights of this work are as defined by the appropriate Copyright Legislation or as modified by any successive legislation. Users may access this work and can make use of the information contained in accordance with the Copyright Legislation provided that the author must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the prior permission of the copyright holder. | en_GB |
dc.publisher.institution | University of Malta | en_GB |
dc.publisher.department | Faculty of Science. Department of Mathematics | en_GB |
dc.description.reviewed | N/A | en_GB |
dc.contributor.creator | Spiteri, Matthew (2022) | - |
Appears in Collections: | Dissertations - FacSci - 2022 Dissertations - FacSciMat - 2022 |
Files in This Item:
File | Description | Size | Format | |
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22BSCMATH008.pdf Restricted Access | 1.21 MB | Adobe PDF | View/Open Request a copy |
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