An Analogue of the Hartogs Lemma for R-Analytic Functions

Some Remarks on Hartogs’ Extension Lemma

Motivated by a result and a question by E. M. Chirka we consider the Hartogs’ extension property for some connected sets in C2 of the form K = Σ ∪ (∂Δ × Δ), where Σ is a possibly nonconnected compact subset of Δ×Δ ⊂ C2.

Application of the Norm Estimates for Univalence of Analytic Functions

By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.

The Fekete-Szego Coefficient Functional for Transforms of Analytic Functions

Towards an analogue of Ihara’s lemma for Shimura curves

The object of this work is to present the status of art of an open problem: to provide an analogue for Shimura curves of the Ihara’s lemma [14] which holds for modular curves. We will describe our direct result towards the “Problem of Ihara”and we will present some possible approaches to it, giving a formulation of our conjecture in terms of congruence subgroup problem for quaternion algebras. ...

nano-rods zno as an efficient catalyst for the synthesis of chromene phosphonates, direct amidation and formylation of amines

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