Representation of Harmonic Functions in the Lie Ball by Dirichlet Series

MORIMOTO, Mitsuo; LÊ Hai Khôi

Tokyo J. of Math., Tome 20 (1997) no. 2, p. 331-342 / Harvested from Project Euclid

Résumé

We prove that complex harmonic functions in the Lie ball can be represented in Dirichlet series by showing the equivalent fact that it can be constructed explicitly a discrete weakly sufficient set for the space of entire functions of exponential type on the complex light cone.

Publié le : 1997-12-15
Classification:

@article{1270042107,
     author = {MORIMOTO, Mitsuo and L\^E Hai Kh\^oi},
     title = {Representation of Harmonic Functions in the Lie Ball by Dirichlet Series},
     journal = {Tokyo J. of Math.},
     volume = {20},
     number = {2},
     year = {1997},
     pages = { 331-342},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270042107}
}

MORIMOTO, Mitsuo; LÊ Hai Khôi. Representation of Harmonic Functions in the Lie Ball by Dirichlet Series. Tokyo J. of Math., Tome 20 (1997) no. 2, pp.  331-342. http://gdmltest.u-ga.fr/item/1270042107/