Analyticity and quasianalyticity of positive definite distributions

Shin, Chang Eon; Chung, Soon-Yeong

J. Math. Kyoto Univ., Tome 44 (2004) no. 4, p. 811-817 / Harvested from Project Euclid

Résumé

We show that if $f$ is a positive definite distribution which is analytic on some neighborhood of the origin, then $f$ is analytic everywhere in $\mathbb{R}^{n}$.

Publié le : 2004-05-15
Classification: 42A82, 46F05

@article{1250281700,
     author = {Shin, Chang Eon and Chung, Soon-Yeong},
     title = {Analyticity and quasianalyticity of positive definite distributions},
     journal = {J. Math. Kyoto Univ.},
     volume = {44},
     number = {4},
     year = {2004},
     pages = { 811-817},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281700}
}

Shin, Chang Eon; Chung, Soon-Yeong. Analyticity and quasianalyticity of positive definite distributions. J. Math. Kyoto Univ., Tome 44 (2004) no. 4, pp.  811-817. http://gdmltest.u-ga.fr/item/1250281700/