Cyclicity in de Branges–Rovnyak spaces

On Cyclicity in Weighted Dirichlet Spaces

We extend some results of Brown and Shields on cyclicity to weighted Dirichlet spaces 0<α< 1. We prove a comparison theorem for cyclicity in these spaces and provide a result on the geometry of the family of cyclic vectors in general functional Hilbert spaces.

Asymptotically de Sitter Spaces

We propose a novel prescription for computing the boundary stress tensor and charges of asymptotically de Sitter (dS) spacetimes from data at early or late time infinity. If there is a holographic dual to dS spaces, defined analogously to the AdS/CFT correspondence, our methods compute the (Euclidean) stress tensor of the dual. We compute the masses of Schwarzschild-de Sitter black holes in fou...

Black holes in symmetric spaces : anti-de Sitter spaces

Using symmetric space techniques, we show that closed orbits of the Iwasawa subgroups of SO(2, l−1) naturally define singularities of a black hole causal structure in anti-de Sitter spaces in l ≥ 3 dimensions. In particular, we recover for l = 3 the non-rotating massive BTZ black hole. The method presented here is very simple and in principle generalizable to any semi-simple symmetric space.

CYCLICITY OF (Z/(p))×

CYCLICITY AND UNICELLULARITY OF THE DIFFERENTIATION OPERATOR ON BANACH SPACES OF FORMAL POWER SERIES By

We investigate compactness, cyclicity and unicellularity of the differentiation operator on certain weighted sequence spaces.