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Christoffel–Darboux formula for zonal spherical functions for the Gelfand pair

Authors :
Watanabe, Shigeru
Source :
Journal of Mathematical Analysis & Applications. Feb2008, Vol. 338 Issue 2, p1378-1386. 9p.
Publication Year :
2008

Abstract

Abstract: In this paper, first we show that an analogy of the Christoffel–Darboux formula holds for the zonal spherical functions for the Gelfand pair . Next, making use of it, we deal with the problem on point-wise convergence of Fourier expansion by means of the zonal spherical functions for . [Copyright &y& Elsevier]

Subjects

Subjects :
*BOUNDARY value problems
*COMPLEX variables
*MATHEMATICAL physics
*INITIAL value problems

Details

Language :
English
ISSN :
0022247X
Volume :
338
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
26992472
Full Text :
https://doi.org/10.1016/j.jmaa.2007.06.022
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