Repositorio Dspace

Interpolation and sampling arrays in spaces of polynomials

Mostrar el registro sencillo del ítem

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


Ficheros en el ítem

Ficheros Tamaño Formato Ver

No hay ficheros asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem

Buscar en DSpace


Búsqueda avanzada

Listar

Mi cuenta