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4 papers · 1 filter
On the Brown--Shields conjecture for cyclicity in the Dirichlet space
Omar El-Fallah, Karim Kellay, Thomas Ransford
Let $\cD$ be the Dirichlet space, namely the space of holomorphic functions on the unit disk whose derivative is square-integrable. We establish a new sufficient condition for a fu…
Symplectic Deformations, Non Commutative Scalar Fields and Fractional Quantum Hall Effect
M. Daoud, A. Hamama
We clearly show that the symplectic structures deformations lead, upon quantization, to quantum theories of non commutative fields. Two variants of deformations are considered. The…
Entropy of Pairs of Dual Attractors in 6D/7D
E. H Saidi, A. Segui
We study the attractor mechanism of dual pairs of black brane bounds in N=2 supergravity in six and seven dimensions. First, we consider the effective potentials of the 6D and 7D b…
Closed ideals in some algebras of analytic functions
Brahim Bouya
We obtain a complete description of closed ideals of the algebra $\mathcal{D}\cap \mathrm{lip}_α},$ where is the Dirichlet space and $\mathrm{lip}_α}$…