Author

Luís Daniel Abreu

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Preprint Sep 2026

A computable wandering and tracelike vector for modular orbits in the Bergman space

We construct a function $\Phi $ such that the orbit under the representation of PSL(2,Z) is an orthonormal basis for the Bergman space with weight $\alpha =12$. Moreover, we show that $\Phi$ is effectively computable as a holomorphic function on the upper half-plane (in the precise sense of computable analysis), by pro...

Luís Daniel Abreu · 1 citation

Preprint Aug 2026

Isospectral majorization and isoperimetric inequalities for coherent states on the Bloch sphere

Let $\mathcal{P}_{N}$ be the $(N+1)$-dimensional Hilbert space of analytic polynomials of degree at most $N$. This is the natural environment to define $SU(2)$ (Bloch) coherent states. Let $Q_{\rho }$ be the Husimi function of a density operator $\rho $ on $% \mathcal{P}_{N}$. We prove an isospectral version of Lieb-So...

Luís Daniel Abreu · 0 citations