WorldCat Identities

Pommerenke, Christian

Overview
Works: 18 works in 62 publications in 2 languages and 795 library holdings
Roles: Author, Editor
Classifications: QA360, 515.9
Publication Timeline
.
Most widely held works by Christian Pommerenke
Boundary behaviour of conformal maps by Christian Pommerenke( Book )

17 editions published between 1991 and 2011 in English and held by 407 WorldCat member libraries worldwide

There has been a great deal of recent interest in the boundary behaviour of conformal maps of the unit disk onto plane domains. In classical applications of conformal maps, the boundary tended to be smooth. This is not the case in many modern applications (e.g. for Julia sets). The first chapters present basic material and are also of interest for people who use conformal mapping as a tool. The later chapters deal in greater detail with classical material and, go into recent developments (e.g. by Makarov). The reader is assumed to know standard complex and real analysis. The subject of the book is developed from scratch except in a few places (e.g. quasiconformal maps) where there exist other very goodbooks: in such cases Pommerenke's emphasis is on giving additional information. There are over two hundred exercises most of which are easy and meant to test the reader's understanding of the text. Each chapter begins with an overview stating the main results informally
Univalent functions by Christian Pommerenke( Book )

16 editions published in 1975 in English and German and held by 244 WorldCat member libraries worldwide

Estimates for normal meromorphic functions by Christian Pommerenke( Book )

3 editions published in 1970 in English and held by 31 WorldCat member libraries worldwide

On normal meromorphic functions by A. J Lohwater( Book )

3 editions published in 1973 in English and Undetermined and held by 25 WorldCat member libraries worldwide

Über die Werte der Faberschen Polynome by Christian Pommerenke( Book )

4 editions published in 1959 in German and held by 25 WorldCat member libraries worldwide

Über die Gleichverteilung von Gitterpunkten auf m-dimensionalen Ellipsoiden by Christian Pommerenke( Book )

4 editions published in 1959 in German and Undetermined and held by 6 WorldCat member libraries worldwide

Linear-invariante Familien analytischer Funktionen by Christian Pommerenke( Book )

1 edition published in 1963 in German and held by 2 WorldCat member libraries worldwide

Funktionentheorie 13.2. bis 19.2.1972( Book )

2 editions published between 1972 and 1983 in German and held by 2 WorldCat member libraries worldwide

Funktionentheorie : 17.2. bis 23.2.1981( Book )

2 editions published between 1974 and 1980 in German and English and held by 2 WorldCat member libraries worldwide

Funktionentheorie : 21.2. bis 27.2.1971( Book )

2 editions published in 1971 in German and held by 2 WorldCat member libraries worldwide

Funktionentheorie : 15.2. bis 21.2.1976( Book )

1 edition published in 1976 in German and held by 1 WorldCat member library worldwide

Linear invariant families of analytic functions, part ii (linear-invariante familien analytischer funktionen ii)( Book )

1 edition published in 1963 in English and held by 1 WorldCat member library worldwide

This paper considers normal families M of functions that are analytic, locally univalent, and normalized in the unit disk. These families are assumed to satisfy a certain invariance property. The prime example is the family U of normalized univalent functions. Another example is the family of locally univalent p-valent functions. In the first part, general properties of these families are studied. For instance, the distortion theorems for U can be generalized to the families M. If the family M is of uniformly bounded characteristic (as ins U)(as is U) then a number of geometric properties can be established, several of which are new even for the case U. In the second part, the boundary behavior of functions in M is investigated, using a certain sequence of functions again in M. Several types of boundary behavior are described and studied. (Author)
On the Two-Parabolic Subgroups of SL(2,C) by Christian Pommerenke( )

in English and held by 1 WorldCat member library worldwide

Funktionentheorie 14. 2. bis 20. 2. 1982( Book )

1 edition published in 1982 in German and held by 1 WorldCat member library worldwide

Funktionentheorie 12.2. bis 18.2.1984( Book )

1 edition published in 1978 in German and held by 1 WorldCat member library worldwide

On groups and normal polymorphic functions by Diego Mejía( )

in English and held by 1 WorldCat member library worldwide

Funktionentheorie 16.2. bis 22.2.1986( Book )

1 edition published in 1986 in German and held by 1 WorldCat member library worldwide

Funktionentheorie I Sommersemester 1979 by Christian Pommerenke( Book )

1 edition published in 1979 in German and held by 1 WorldCat member library worldwide

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.73 (from 0.69 for Boundary b ... to 1.00 for Linear inv ...)

Boundary behaviour of conformal maps
Alternative Names
Christian Pommerenke Danish mathematician

Christian Pommerenke deutscher Mathematiker

Christian Pommerenke Duits wiskundige

Christian Pommerenke matemático aleman

Christian Pommerenke tysk matematikar

Christian Pommerenke tysk matematiker

Pommerenke, C.

Pommerenke, Ch.

Pommerenke, Ch. (Christian)

Languages
English (40)

German (20)

Covers