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| dc.contributor | Massaneda Clares, Francesc Xavier | |
| dc.contributor | Ortega Cerdà, Joaquim | |
| dc.creator | Cruz Rodríguez, Carlos Arturo | |
| dc.date | 2017-02-28T11:45:38Z | |
| dc.date | 2017-02-28T11:45:38Z | |
| dc.date | 2016-06-21 | |
| dc.date.accessioned | 2024-12-16T10:23:52Z | |
| dc.date.available | 2024-12-16T10:23:52Z | |
| dc.identifier | http://hdl.handle.net/2445/107528 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/16723 | |
| dc.description | Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2016, Director: Francesc Xavier Massaneda Clares i Joaquim Ortega Cerdà | |
| dc.description | We study the discretisation procedure of homogeneous polynomials in the unit sphere $\mathbb{S}\cong \mathbb{CP}^1$. This can be seen as a basic model of a more general problem of discretisation of sections of holomorphic line bundles over compact complex manifolds. Our aim is to obtain geometric necessary and sufficient conditions describing the discretising sequences. An important model for such sequences are the so-called Fekete arrays, which can be seen as nets adapted to the geometry of the sphere. The tools used in such description go back to the signal processing theory pioneered by Beurling and Landau. | |
| dc.format | 60 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.rights | cc-by-nc-nd (c) Carlos Arturo Cruz Rodrı́guez, 2016 | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Màster Oficial - Matemàtica Avançada | |
| dc.subject | Funcions de variables complexes | |
| dc.subject | Teoria del potencial (Matemàtica) | |
| dc.subject | Treballs de fi de màster | |
| dc.subject | Espais funcionals | |
| dc.subject | Functions of complex variables | |
| dc.subject | Potential theory (Mathematics) | |
| dc.subject | Master's theses | |
| dc.subject | Function spaces | |
| dc.title | Interpolation and sampling arrays in spaces of polynomials | |
| dc.type | info:eu-repo/semantics/masterThesis |
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