Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan

John Erik Fornæss (), Franc Forstnerič () and Erlend F. Wold ()
Additional contact information
John Erik Fornæss: Department of Mathematical Sciences, NTNU, University of Ljubljana
Franc Forstnerič: University of Ljubljana, Faculty of Mathematics and Physics
Erlend F. Wold: University of Oslo, Department of Mathematics

A chapter in Advancements in Complex Analysis, 2020, pp 133-192 from Springer

Abstract: Abstract In this paper we survey the theory of holomorphic approximation, from the classical nineteenth century results of Runge and Weierstrass, continuing with the twentieth century work of Oka and Weil, Mergelyan, Vitushkin, and others, to the most recent ones on higher dimensional manifolds. The paper includes some new results and applications of this theory, especially to manifold-valued maps.

Date: 2020
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-40120-7_5

Ordering information: This item can be ordered from
http://www.springer.com/9783030401207

DOI: 10.1007/978-3-030-40120-7_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().