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
Pages
9
From page
1378
To page
1386
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
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936582
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