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arXiv · 1301.5724

On classification of measurable functions of several variables

A. Vershik
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Abstract

We define a normal form (called the canonical image) of an arbitrary measurable function of several variables with respect to a natural group of transformations; describe a new complete system of invariants of such a function (the system of joint distributions); and relate these notions to the matrix distribution, another invariant of measurable functions found earlier, which is a random matrix. Bibliography: 7 titles.

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A. Vershik. 2013-01-24. On classification of measurable functions of several variables. https://arxiv.org/abs/1301.5724

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