Generalizations of Fatou's Theorem to Symmetric Spaces

Paper by Adam Korány

Homogeneous operators on Hilbert spaces of holomorphic functions - I

In this paper we construct a large class of multiplication operators on reproducing kernel Hilbert spaces which are homogeneous with respect to the action of the Mö bius group consisting of bi-holomorphic automorphisms of the unit disc D. For every m ∈ N we have a family of operators depending on m+1 positive real parameters. The kernel function is calculated explicitly. It is proved that each of these operators is bounded, lies in the Cowen-Douglas class of D and is irreducible. These operators are shown to be mutually pairwise unitarily inequivalent

A classification of homogeneous operators in the Cowen-Douglas class

A complete list of homogeneous operators in the Cowen-Douglas class Bn(D) is given. This classification is obtained from an explicit realization of all the holomorphic homogeneous Hermitian vector bundles on the unit disc under the action of the universal covering group of the bi-holomorphic automorphism group of the unit disc

Island in the neoliberal stream: energy security and soft re-nationalisation in Hungary

Since 2010, the Hungarian Government has increased its stake in the country’s energy sector at the expense of foreign-owned energy companies. This ‘soft re-nationalisation’ is driven by both exogenous and endogenous factors, especially the country’s external dependence on gas imports, its previous commitment to a European model of energy liberalisation, public dissatisfaction with high energy prices and the emergence of an ‘illiberal state’. The case of Hungary’s ‘soft re-nationalisation’ yields two central findings. Firstly, conceptually, there is a need to move away from just focusing on the radical re-nationalisation of energy in the form of resource nationalism, and instead understand re-nationalisation as consisting of a broad spectrum of state interventions into the energy market. Secondly, Hungary’s recent ‘statist turn’ in the energy sector highlights inherent tensions within EU energy policy as it threatens attempts to establish a fully liberalised and marketised energy market across the continen