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EDWARD J. BELTRAMI, Pointwise and Norm Convergence of Distributions, Journal of Mathematics and Mechanics, Vol. 14, No. 1 (January, 1965), pp. 99-107 ...
Pointwise Convergence: A mode of convergence in function spaces where convergence is determined by the behaviour of functions at each individual point.
This paper considers a series estimator of 𝗕E [α (Y) λ (X) = λ̄], (α,λ) ∈ 𝒜 × Λ, indexed by function spaces, and establishes the estimator's uniform convergence rate over λ̄ ∈ R, α ∈ 𝐑, and λ ∈ Λ, ...