Basis properties and complements of complex exponential systems
NAKAMURA, Akihiro
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 193-206 / Harvested from Project Euclid
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In this note, we show that some families of complex exponentials are either Riesz sequences or not basic sequences in $L^2[-\pi,\pi]$. Besides, we show that every incomplete complex exponential system satisfying some condition can be complemented up to a complete and minimal system of complex exponentials in $L^2[-\pi,\pi]$.
Publié le : 2007-02-15
Classification:  Riesz basis,  Riesz sequence,  complete and minimal sequence,  42C15,  42C99,  42C30 
@article{1285766658,
     author = {NAKAMURA, Akihiro},
     title = {Basis properties and complements of complex exponential systems},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 193-206},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285766658}
}

NAKAMURA, Akihiro. Basis properties and complements of complex exponential systems. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  193-206. http://gdmltest.u-ga.fr/item/1285766658/