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S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. MR 0011131 (6:123i)

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L. K. Hua, On the theory of functions of several complex variables. I. On a complete orthonormal system in the hyperbolic space of rectangular matrices, Dokl. Akad. Nauk SSSR (N.S.) vol. 93 (1953) pp. 775-777 [Math. Rev. 15 (1954) p. 617] and J. Chinese Math. Soc. vol. 2 (1953) pp. 288-323 [Math. Rev. 17, 1956, p. 191]. MR 0060035 (15:617a)

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-, Harmonic analysis of the classical domain in the study of analytic functions of several complex variables, Mimeographed Lecture Notes, about 1956.

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J. Mitchell, An example of a complete orthonormal system and the kernel function in the geometry of matrices, Proceedings of Second Canadian Mathematical Congress, Vancouver, 1949, pp. 155-163. MR 0043916 (13:339c)

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-, The kernel function in the geometry of matrices, Duke Math. J. vol. 19 (1952) pp. 575-584. MR 0050690 (14:368b)

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-, Potential theory in the geometry of matrices, Trans. Amer. Math. Soc. vol. 79 (1955) pp. 401-422. MR 0072242 (17:253a)

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E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge, Cambridge University Press, 1948. MR 1424469 (97k:01072)