O. Hijab

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20032019

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math.FA2017

The Hohenberg-Kohn Theorem for Schrodinger Semigroups

Omar Hijab

At the basis of much of computational chemistry is density functional theory, as initiated by the Hohenberg-Kohn theorem. The theorem states that, when nuclei are fixed, nuclear po…

math.FA2014

The Perron-Frobenius Theorem for Markov Semigroups

Omar Hijab

Let $P_{t}^{V}$ , $t \geq 0$ , be the Schrodinger semigroup associated to a potential $V$ and Markov semigroup $P_{t}$ , $t \geq 0$ , on $C (X)$ . Existence is established of a left eigenvector and…

math.FA2003

Differentiability of functions of matrices

Yury Grabovsky, Omar Hijab, Igor Rivin

Given a function on diagonal matrices, there is a unique way to extend this to an invariant (by conjugation) function on symmetric matrices. We show that the extension preserves re…