Tests for the multivariate k-sample problem based on the empirical characteristic function

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Testing equality of functions under monotonicity constraints (2012, background): “Another recent approach consist of comparing empirical characteristic functions, e.g. see Hušková and Meintanis (2008), who extended the univariate two-sample tests from Epps and Singleton (1986) and Meintanis (2005) to the multivariate k-sample setting, k ≥ 2.”
The limit distribution of weighted $$L^2$$L2-goodness-of-fit statistics under fixed alternatives, with applications (2017, methodology): “It is easy to see that the approach also Weighted L2-GOF-statistics under fixed alternatives 991 encompasses the multisample case, which was considered by Hušková and Meintanis (2008) in connection with tests for the multivariate k-sample problem based on the ECF.”