Given a proper holomorphic mapping g:\varOmega ⊆ C^ n ⟶\varOmega'⊆ C^ ng: Ω⊆ C n⟶
Ω′⊆ C n and an algebra of holomorphic functions BB (eg P (K) P (K) where K ⊂\varOmega …

Let $ G $ be a locally compact group. We prove that the augmentation ideal in $ L^ 1 (G) $ is
(algebraically) finitely-generated as a left ideal if and only if $ G $ is finite. We then …

On the setting of general bounded smooth domains in R n, we construct L1-bounded
nonorthogonal projections and obtain related reproducing formulas for the harmonic …

This thesis concerns the theory of Banach algebras, particularly those coming from abstract
harmonic analysis. The focus for much of the thesis is the theory of the ideals of these …

In this article we study the Gleason problem locally. A new method for solving the Gleason A
problem is presented. This is done by showing an equivalent statement to the Gleason A …

We prove that for infinite compact planar sets K with big complementary components the
algebras P (K), R (K), A (K)(and C (K)) as well as the Sarason algebra H∞+ C on the unit …

We investigate the spectrum of certain Banach algebras. Properties like generators of
maximal ideals and generalized Shilov boundaries are studied. In particular we show that if …

This article concerns the Gleason property as a local phenomenon. We prove that there
always exists an open set where the domain $ D\Subset\mathbb {C}^{2} $ has the Gleason …