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On the Gram matrix of standard inner products of asymmetrically-weighted Hermite functions

Dai, Ruiyang
arXiv (All) · Papers
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mathematical-physicsnumerical-analysis
Let A denote the infinite Gram matrix associated with the standard L2 inner product of asymmetrically-weighted (AW) Hermite functions. We derive an explicit representation of its entries and its Cholesky factorization. We further show that this factorization admits a natural interpretation on a scal
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