English

A function algebra providing new Mergelyan type theorems in several complex variables

Complex Variables 2019-01-08 v1 Classical Analysis and ODEs Functional Analysis

Abstract

For compact sets KCdK\subset \mathbb C^{d}, we introduce a subalgebra AD(K)A_{D}(K) of A(K)A(K), which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of functions.

Keywords

Cite

@article{arxiv.1901.01339,
  title  = {A function algebra providing new Mergelyan type theorems in several complex variables},
  author = {Javier Falcó and Paul M. Gauthier and Myrto Manolaki and Vassili Nestoridis},
  journal= {arXiv preprint arXiv:1901.01339},
  year   = {2019}
}
R2 v1 2026-06-23T07:03:39.803Z