Fourier inversion of distributions on projective spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 3, pp. 437-441
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We show that the Fourier-Laplace series of a distribution on the real, complex or quarternionic projective space is uniformly Ces\`aro-summable to zero on a neighbourhood of a point if and only if this point does not belong to the support of the distribution.
We show that the Fourier-Laplace series of a distribution on the real, complex or quarternionic projective space is uniformly Ces\`aro-summable to zero on a neighbourhood of a point if and only if this point does not belong to the support of the distribution.
Classification :
42C10, 46F12
Keywords: distribution; projective space; Fourier-Laplace series; Ces\`aro summability
Keywords: distribution; projective space; Fourier-Laplace series; Ces\`aro summability
@article{CMUC_2006_47_3_a5,
author = {Vieli, Francisco Javier Gonz\'alez},
title = {Fourier inversion of distributions on projective spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {437--441},
year = {2006},
volume = {47},
number = {3},
mrnumber = {2281005},
zbl = {1150.46015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2006_47_3_a5/}
}
TY - JOUR AU - Vieli, Francisco Javier González TI - Fourier inversion of distributions on projective spaces JO - Commentationes Mathematicae Universitatis Carolinae PY - 2006 SP - 437 EP - 441 VL - 47 IS - 3 UR - http://geodesic.mathdoc.fr/item/CMUC_2006_47_3_a5/ LA - en ID - CMUC_2006_47_3_a5 ER -
Vieli, Francisco Javier González. Fourier inversion of distributions on projective spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 3, pp. 437-441. http://geodesic.mathdoc.fr/item/CMUC_2006_47_3_a5/