Bandlimited Lipschitz functions

We study the space of bandlimited Lipschitz functions in one variable. In particular we provide a geometrical description of interpolating and sampling sequences for this space. We also give a description of the trace of such functions to sequences of critical density in terms of a cancellation cond...

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Detalhes bibliográficos
Autores: Lyubarskii, Yurii, Ortega Cerdà, Joaquim
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2014
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/55464
Acesso em linha:https://hdl.handle.net/2445/55464
Access Level:Acceso aberto
Palavra-chave:Funcions de variables complexes
Anàlisi harmònica
Funcions meromorfes
Functions of complex variables
Harmonic analysis
Meromorphic functions
Descrição
Resumo:We study the space of bandlimited Lipschitz functions in one variable. In particular we provide a geometrical description of interpolating and sampling sequences for this space. We also give a description of the trace of such functions to sequences of critical density in terms of a cancellation condition.