CLIFFORDIAN HOLOMORPHIC-FUNCTIONS

Authors
LAVILLE G RAMADANOFF I
Citation
G. Laville et I. Ramadanoff, CLIFFORDIAN HOLOMORPHIC-FUNCTIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(3), 1998, pp. 307-310
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
3
Year of publication
1998
Pages
307 - 310
Database
ISI
SICI code
0764-4442(1998)326:3<307:CH>2.0.ZU;2-M
Abstract
Let R-0,R-2m+1 be the Clifford algebra of R2m+1 with a quadratic form of negative signature, D = [GRAPHICS] Delta the ordinary Laplacian. Th e holomorphic cliffordian functions are solutions of D Delta(m) f = 0. We study the polynomial and singular solutions, representation integr al formulas, and the foundation of the Cliffordian elliptic function t heory.