Now showing items 1-5 of 5

• #### Dirichlet Approximation and Universal Dirichlet ﻿

[OWP-2016-12] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-16)
We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and ...
• #### A Function Algebra Providing New Mergelyan Type Theorems in Several Complex Variables ﻿

[OWP-2019-02] (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-11)
For compact sets $K\subset \mathbb C^{d}$, we introduce a subalgebra $A_{D}(K)$ of $A(K)$, which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of functions.
• #### Non-Extendability of Holomorphic Functions with Bounded or Continuously Extendable Derivatives ﻿

[OWP-2017-30] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-21)