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A Note on Trace-Differentiation and the Ω-operator

1953
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Proceedings of the Edinburgh Mathematical Society
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1. In theory of polarizing operators in invariants the operator where X -[x$ is an n x n matrix of n 2 independent elements x^, holds an important place. Acting upon particular scalar functions of X, namely the spur or trace of powers of X, or of polynomials or rational functions of X with scalar coefficients, it exhibits (Turnbull,. 1927 (Turnbull,. , 1929(Turnbull,. , 1931 an exact analogy with results in the ordinary differentiation of the corresponding functions of one scalar variable.

doi:10.1017/s0013091500014152
fatcat:5emofnnlsbg5jdnigkcnkjqfxm