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The limit behavior is studied for the distributions of normalized U- andV-statistics of an arbitrary order with canonical (degenerate) kernels, basedon samples of increasing sizes from a stationary sequence of observationssatisfying classical mixing conditions. The corresponding limit distributionsare represented as infinite multilinear forms of a centered Gaussian sequencewith a known covariance matrix.

Orthogonal series and limit theorems for canonical U- and V-statistics of stationary connected observations