the incidence of multiple myeloma (mm) affecting the jaws is 30% and on rare occasions the oral involvement can be the first indication of the disease. authors report a case of mm in a 40-yearold woman who presented with a multilocular radiolucent lesion in the left mandible initially mistaken as an ameloblastoma. conventional radiographs revealed a multilocular lesion on the molar region. comp...

We introduce a new construction algorithm for digital nets for integration in certain weighted tensor product Hilbert spaces. The first weighted Hilbert space we consider is based on Walsh functions. Dick and Pillichshammer calculated the worst-case error for integration using digital nets for this space. Here we extend this result to a special construction method for digital nets based on poly...

A fake weighted projective space X is a Q-factorial toric variety with Picard number one. As with weighted projective space, X comes equipped with a set of weights (λ0, . . . , λn). We see how the singularities of P(λ0, . . . , λn) influence the singularities of X, and how the weights bound the number of possible fake weighted projective spaces for a fixed dimension. Finally, we present an uppe...

Let H be a Hilbert space of analytic functions on the unit disk D. For an analytic function ψ on D, we can define the multiplication operator Mψ : f → ψf, f ∈ H. For an analytic selfmapping φ of D, the composition operator Cφ defined on H as Cφf f ◦ φ, f ∈ H. These operators are two classes of important operators in the study of operator theory in function spaces 1–3 . Furthermore, for ψ and φ,...