Sets of determination for parabolic functions on a half-space
Ranošová, Jarmila
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 497-513 / Harvested from Czech Digital Mathematics Library
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We characterize all subsets $M$ of $\Bbb R^n \times \Bbb R^+$ such that $$ \sup\limits_{X\in \Bbb R^n \times \Bbb R^+}u(X) = \sup\limits_{X\in M}u(X) $$ for every bounded parabolic function $u$ on $\Bbb R^n \times \Bbb R^+$. The closely related problem of representing functions as sums of Weierstrass kernels corresponding to points of $M$ is also considered. The results provide a parabolic counterpart to results for classical harmonic functions in a ball, see References. As a by-product the question of representability of probability continuous distributions as sums of multiples of normal distributions is investigated.

Publié le : 1994-01-01
Classification:  31B10,  35C15,  35K05,  35K15,  60E99 
@article{118689,
     author = {Jarmila Rano\v sov\'a},
     title = {Sets of determination for parabolic functions on a half-space},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {497-513},
     zbl = {0808.35043},
     mrnumber = {1307276},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118689}
}

Ranošová, Jarmila. Sets of determination for parabolic functions on a half-space. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 497-513. http://gdmltest.u-ga.fr/item/118689/

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