Watanabe, Shigeru Christoffel-Darboux formula for zonal spherical functions for the Gelfand pair \((U(n),U(n - 1))\). (English) Zbl 1140.33005 J. Math. Anal. Appl. 338, No. 2, 1378-1386 (2008). Reviewer: Vasile Ionescu (Bucureşti) MSC: 33C55 33C45 33C80 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Watanabe, Shigeru Symmetric pairs, Gelfand pairs and pairs such that generating functions of zonal spherical functions define unitary operators – the case of the compact type. (English) Zbl 1104.43008 J. Funct. Anal. 238, No. 2, 427-446 (2006). Reviewer: Roman Urban (Wrocław) MSC: 43A85 43A90 × Cite Format Result Cite Review PDF Full Text: DOI
Watanabe, Shigeru Generating function for the spherical functions on a Gelfand pair of exceptional type. (English) Zbl 0838.43014 Tokyo J. Math. 17, No. 1, 229-232 (1994). Reviewer: Zhu Fuliu (Hubei) MSC: 43A90 22E30 × Cite Format Result Cite Review PDF Full Text: DOI