11 citations · 52 across the 22 of their papers we have counts for
5 papers · 1 filter
On a family of pseudohyperbolic disks
Raymond Mortini, Rudolf Rupp
Hyperbolic geometry plays an important role within function theory of the disk. For example, via the Schwarz-Pick Lemma, the isometries of the unit disk with respect to…
A short proof of Cartan's Nullstellensatz for entire functions in
Raymond Mortini
Using the fact that the maximal ideals in the polydisk algebra are given by the kernels of point evaluations, we derive a simple formula that gives a solution to the Bézout equatio…
Reducibility of invertible tuples to the principal component in commutative Banach algebras
Raymond Mortini, Rudolf Rupp
Let be a complex, commutative unital Banach algebra. We introduce two notions of exponential reducibility of Banach algebra tuples and present an analogue to the Corach-Suárez…
The cone and cylinder algebra
Raymond Mortini, Rudolf Rupp
In this exposition-type note we present detailed proofs of certain assertions concerning several algebraic properties of the cone and cylinder algebras. These include a determinati…
Some curiosities of the algebra of bounded Dirichlet series
Raymond Mortini, Amol Sasane
It is shown that the algebra of bounded Dirichlet series is not a coherent ring, and has infinite Bass stable rank. As corollaries of the latter result, it is derived that the alge…