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math.FA2019★ 1 cited
Singular Value Decomposition in Sobolev Spaces: Part II
Mazen Ali, Anthony Nouy
Under certain conditions, an element of a tensor product space can be identified with a compact operator and the singular value decomposition (SVD) applies to the latter. These con…
math.FA2019★ 2 cited
Low-Rank Approximability and Entropy Area Laws for Ground States of Unbounded Hamiltonians
Mazen Ali
We show how local bounded interactions in an unbounded Hamiltonian lead to eigenfunctions with favorable low-rank properties. To this end, we utilize ideas from quantum entanglemen…