An uncertainty principle and sampling inequalities in Besov spaces
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en
Article de revue
Este ítem está publicado en
Journal of Fourier Analysis and Applications. 2016, vol. 22, p. 768-786
Springer Verlag
Resumen en inglés
We extend Strichartz's uncertainty principle [18] from the setting of the Sobolov space W 1,2 (R) to more general Besov spaces B 1/p p,1 (R). The main result gives an estimate from below of the trace of a function from the ...Leer más >
We extend Strichartz's uncertainty principle [18] from the setting of the Sobolov space W 1,2 (R) to more general Besov spaces B 1/p p,1 (R). The main result gives an estimate from below of the trace of a function from the Besov space on a uniformly distributed discrete subset. We also prove the corresponding result in the multivariate case and discuss some applications to irregular approximate sampling in critical Besov spaces.< Leer menos
Palabras clave en inglés
Uncertainty Principle
Besov spaces
Sampling Theory
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