Remarks on Cauchy's integral formula in matric spaces

Author:
Josephine Mitchell

Journal:
Proc. Amer. Math. Soc. **11** (1960), 299-304

MSC:
Primary 32.15

MathSciNet review:
0124524

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**[1]**S. Bergman,*The kernel function and conformal mapping*, Mathematical Surveys, no. 5, 1950.**[2]**S. Bochner,*Group invariance of Cauchy's formula in several variables*, Ann. of Math. vol. 45 (1944) pp. 686-707.**[3]**E. Cartan,*Sur les domains bornés homogènes de l'espace de variables complexes*, Abh. Math. Sem. Univ. Hamburg vol. 11 (1936) pp. 116-162.**[4]**L. K. Hua,*On the theory of functions of several complex variables*, I-III (in Chinese), Acta Math. Sinica vol. 2 (1953) pp. 288-323; vol. 5 (1955) pp. 1-25 and pp. 205-242.**[5]**-,*Harmonic analysis of the classical domains in the study of analytic functions of several complex variables*, mimeographed notes, about 1956.**[6]**J. Mitchell,*The kernel function in the geometry of matrices*, Duke Math. J. vol. 19 (1952) pp. 575-584.**[7]**K. Morita,*On the kernel functions of symmetric domains*, Science Reports of the Tokyo Kyoiku Daigaku, Section A vol. 5 (1956) pp. 190-212.**[8]**C. L. Siegel,*Analytic functions of several complex variables*, Notes by P. T. Bateman, Institute for Advanced Study, Princeton, 1948-1949.

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DOI:
https://doi.org/10.1090/S0002-9939-1960-0124524-4

Article copyright:
© Copyright 1960
American Mathematical Society