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Zonal decompositions for spherical monogenics
Author(s) -
Eelbode D.
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.827
Subject(s) - eigenfunction , mathematics , unit sphere , context (archaeology) , operator (biology) , argument (complex analysis) , type (biology) , unit (ring theory) , mathematical analysis , pure mathematics , eigenvalues and eigenvectors , chemistry , mathematics education , physics , geology , paleontology , biochemistry , repressor , quantum mechanics , transcription factor , gene
In this paper, a specific type of eigenfunctions for the Gamma operator Γ on the unit sphere S m −1 in ℝ m is constructed within the context of Clifford analysis, by means of a recursive argument. This leads to zonal decompositions for the spherical monogenics. Copyright © 2006 John Wiley & Sons, Ltd.