A complete orthonormal system of homogeneous polynomials on matrix spaces of order 2
Author:
Josephine Mitchell
Journal:
Proc. Amer. Math. Soc. 10 (1959), 399-406
MSC:
Primary 32.00
DOI:
https://doi.org/10.1090/S0002-9939-1959-0105513-4
MathSciNet review:
0105513
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References | Similar Articles | Additional Information
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- [2] S. Bochner, Group invariance of Cauchy’s formula in several variables, Ann. of Math. (2) 45 (1944), 686–707. MR 11131, https://doi.org/10.2307/1969297
- [3] Lo-Kèn Hua, On the theory of functions of several complex variables. I. On a complete orthonormal system in the hyperbolic space of rectangular matrices, Doklady Akad. Nauk SSSR (N.S.) 93 (1953), 775–777 (Russian). MR 0060035
- [4] -, Harmonic analysis of the classical domain in the study of analytic functions of several complex variables, Mimeographed Lecture Notes, about 1956.
- [5] Josephine Mitchell, An example of a complete ortho-normal system and the kernel function in the geometry of matrices, Proc. Second Canadian Math. Congress, Vancouver, 1949, University of Toronto Press, Toronto, 1951, pp. 155–163. MR 0043916
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- [7] Josephine Mitchell, Potential theory in the geometry of matrices, Trans. Amer. Math. Soc. 79 (1955), 401–422. MR 72242, https://doi.org/10.1090/S0002-9947-1955-0072242-6
- [8] E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1996. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions; Reprint of the fourth (1927) edition. MR 1424469
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1959-0105513-4
Article copyright:
© Copyright 1959
American Mathematical Society