Errata : Spherical Functions of the Principal Series Representation of $Sp(2, ℝ)$ as Hypergeometric Functions of $C_2$ type (Publ. RIMS, Kyoto Univ. 32 (1996), 689–727)

Masatoshi Iida

doi:10.2977/prims/1201011794

JournalsprimsVol. 43, No. 2pp. 521–524

Errata : Spherical Functions of the Principal Series Representation of $Sp (2, R)$ as Hypergeometric Functions of $C_{2}$ type (Publ. RIMS, Kyoto Univ. 32 (1996), 689–727)

Masatoshi Iida
Josai University, Saitama, Japan

Errata : Spherical Functions of the Principal Series Representation of $Sp(2, ℝ)$ as Hypergeometric Functions of $C_2$ type (Publ. RIMS, Kyoto Univ. 32 (1996), 689–727) cover

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Abstract

There are some mistakes in the paper cited in the title. By correcting these mistakes, we ﬁnd that parameters of the spherical function are rational with respect to parameters of the (generalized principal series) representation. As an additional remark, we see that the shift operator is the Dunkl operator of $A_{1}$ -type.

Link to the paper corrected hereby.

Cite this article

Masatoshi Iida, Errata : Spherical Functions of the Principal Series Representation of $Sp (2, R)$ as Hypergeometric Functions of $C_{2}$ type (Publ. RIMS, Kyoto Univ. 32 (1996), 689–727). Publ. Res. Inst. Math. Sci. 43 (2007), no. 2, pp. 521–524

DOI 10.2977/PRIMS/1201011794