Title of article
ZONAL and ASSOCIATED FUNCTIONS ON SO0(p, q) GROUPS
Author/Authors
RAJABOV, B.A N. Tusi Shamakhi Astrophysics Observatory - National Academy of Sciences of Azerbaijan - Shamakhi, Azerbaijan
Pages
12
From page
32
To page
43
Abstract
Explicit expressions for associated spherical functions of SO(p, q) matrix
groups are obtained using a generalized hypergeometric series of two variables. In this
paper we present explicit expressions for zonal functions of de Sitter groups and the
group of conformal invariance. Moreover, we present a theorem on the transformation
of derivative of distributions, concentrated on smooth surfaces, with respect to infinitedimensional Lie group C
∞ (R
n
, GL(n)).
Keywords
Spherical functions , Horn’s series , SO(p, q) groups , de Sitter groups SO(4, 1) and SO(3, 2) , conformal group SO(4, 2) , derivative of distribution
Journal title
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Serial Year
2018
Record number
2581679
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