Spherical Monogenic Functions and Analytic Functionals on the Unit Sphere

SOMMEN, Fransiscus

Tokyo J. of Math., Tome 04 (1981) no. 2, p. 427-456 / Harvested from Project Euclid

Résumé

The aim of this paper is to introduce the analogues of the restrictions of $z\to z^k$, $k\in\mathbf{Z}$, $z\in\mathbf{C}$, to the unit circle, in the case of the unit sphere $\partial B(0,1)$ in $\mathbf{R}^{m+1}$ and to apply them to boundary value problems of left monogenic functions in $\mathbf{R}^{m+1}\backslash \partial B(0,1)$.

Publié le : 1981-12-15
Classification:

@article{1270215166,
     author = {SOMMEN, Fransiscus},
     title = {Spherical Monogenic Functions and Analytic Functionals on the Unit Sphere},
     journal = {Tokyo J. of Math.},
     volume = {04},
     number = {2},
     year = {1981},
     pages = { 427-456},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270215166}
}

SOMMEN, Fransiscus. Spherical Monogenic Functions and Analytic Functionals on the Unit Sphere. Tokyo J. of Math., Tome 04 (1981) no. 2, pp.  427-456. http://gdmltest.u-ga.fr/item/1270215166/