References
Gårding, L.: Extension of a formula by Cayley to symmetric determinants. Proc. Edinburgh Math. Soc. Ser. 2,8, 73–75 (1947)
Gindikin, S.G.: Analysis in homogeneous domains (in Russian). Uspekhi Mat. Nauk19, (118), 3–92 (1964)
Godement, R.: Ou l'on généralise une intégrale ... Exposé No. 5, Séminaire H. Cartan, Fonctions automorphes, 1957/58
Hua, L.K.: Harmonic analysis of functions of several complex variables in the classical domains, Translations of Mathematical Monographs, vol. 6, Amer. Math. Soc., 1963
Johnson, K.D.: On a ring of invariant polynomials on a hermitian symmetric spaces. J. of Algebra67, 72–81 (1980)
Schmid, W.: Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen. Invent. math.9, 61–80 (1969).
Shimura, G.: The arithmetic of certain zeta functions and automorphic forms on orthogonal groups. Ann. of Math.111, 313–375 (1980)
Shimura, G.: Arithemetic of differential operators on symetric domains. Duke Math. J.48, 813–843 (1981)
Shimura, G.: Confluent hypergeometric functions on tube domains. Math. Ann.260, 269–302 (1982)
Shimura, G.: On Eisenstein series. Duke Math. J.50, 417–476 (1983)
Shimura, G.: Differential operator and the singular values of Eisenstein series. Duke Math. J.51, 261–329 (1984)
Siegel, C.L.: Über die Zetafunktionen indefiniter quadratischer Formen. Math. Z.43, 682–708 (1938)
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Research supported by NSF Grant MCS-8100744
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Shimura, G. On differential operators attached to certain representations of classical groups. Invent Math 77, 463–488 (1984). https://doi.org/10.1007/BF01388834
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DOI: https://doi.org/10.1007/BF01388834