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DC Field | Value | Language |
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dc.contributor.advisor | Massaneda Clares, Francesc Xavier | - |
dc.contributor.author | Rom Escuté, Duna | - |
dc.date.accessioned | 2024-02-28T08:39:17Z | - |
dc.date.available | 2024-02-28T08:39:17Z | - |
dc.date.issued | 2024-01-17 | - |
dc.identifier.uri | http://hdl.handle.net/2445/208160 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: Francesc Xavier Massaneda Clares | ca |
dc.description.abstract | [en] The Titchmarsh Convolution Theorem is a renowned theorem on the support of the convolution on two functions, and it has several possible equivalent formulations. Within this project, we expose the details of Thomas Randsford's proof [5], based on the factorization of functions in the space $H^{\infty}$ of holomorphic and bounded functions on the disk. To reformulate the convolution problem in terms of holomorphic functions one uses the Laplace transform. | ca |
dc.format.extent | 52 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Duna Rom Escuté, 2024 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Convolucions (Matemàtica) | ca |
dc.subject.classification | Funcions holomorfes | - |
dc.subject.classification | Transformació de Laplace | ca |
dc.subject.classification | Treballs de fi de grau | ca |
dc.subject.other | Convolutions (Mathematics) | en |
dc.subject.other | Holomorphic functions | - |
dc.subject.other | Laplace transformation | en |
dc.subject.other | Bachelor's theses | en |
dc.title | Demostració del teorema de convolució de Titchmarsh | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_rom_escute_duna.pdf | Memòria | 631.11 kB | Adobe PDF | View/Open |
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