Weak mixing sequence conjecture for functions satisfying the correlation condition
Let (X,B,μ,T)(X,\mathscr{B},\mu,T)(X,B,μ,T) be a measure-preserving system, let UUU denote its Koopman operator, and let f∈L2(X,μ)f\in L^2(X,\mu)f∈L2(X,μ) satisfy … for every g∈L2(X,μ)g\in L^2(X,\mu)g∈L2(X,μ). A sequence…