Title of article :
Christoffel–Darboux formula for zonal spherical functions
for the Gelfand pair (U(n),U(n −1))
Author/Authors :
Shigeru Watanabe، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2008
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 (U(n),U(n− 1)). 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 (U(n),U(n−1)).
© 2007 Elsevier Inc. All rights reserved
Keywords :
Christoffel–Darboux formula , U(n ? 1)) , Zonal spherical function , Gelfand pair (U(n)
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
