9 citations · 9 across the 3 of their papers we have counts for
3 papers
math.DS2023
Classification of measurable functions of several variables and matrix distributions
A. Vershik
We consider the notion of the matrix (tensor) distribution of a measurable function of several variables. On the one hand, it is an invariant of this function with respect to a cer…
math.RT2023
Limit spectral measures of matrix distributions of metric triples
A. Vershik, F. Petrov
A notion of the limit spectral measure of a metric triple (i.e., a metric measure space) is defined. If the metric is square integrable, then the limit spectral measure is determin…
math.FA2014★ 9 cited
Virtual Continuity of Measurable Functions and Its Applications
A. Vershik, F. Petrov, P. Zatitskiy
Classical theorem of Luzin states that a measurable function of one real variable is "almost" continuous. For measurable functions of several variables the analogous statement (con…