TL;DR
This paper provides a representation-theoretic proof for the correlation functions of z-measures, building on prior formulas by Borodin and Olshanski, and precedes further related work.
Contribution
It offers a new proof method for z-measure correlation functions using representation theory, enhancing understanding of their structure.
Findings
Representation-theoretic proof of correlation functions
Connection to prior formulas by Borodin and Olshanski
Historical context for subsequent research
Abstract
We give a representation-theoretic proof of the formula for correlation functions of z-measures obtained by Borodin and Olshanski in math.RT/9904010. This paper is historically preceding my paper math.RT/9907127.
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