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XV.—A Matrix Analogue of the Integral

Published online by Cambridge University Press:  14 February 2012

Henry Jack
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Synopsis

A multiple integral, whose integrand is an n × n determinant, is evaluated over certain regions of n-dimensional space. Similar integrals are encountered in the theory of Zonal polynomials. In the course of the work a partition problem arises. In the next paper of these Proceedings, Professor Rutherford enumerates these partitions and relates the subject to the theory of the representation of the symmetric group.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 67 , Issue 3 , 1967 , pp. 205 - 214
Copyright
Copyright © Royal Society of Edinburgh 1967

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References

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