Concepedia

On the Rogosinski radius for holomorphic mappings and some of its applications

Lev Aizenberg, Mark Elin, David Shoikhet

Studia Mathematica · 2005 · 25 citations · 9 references

DOIFull text

Open access

Concepts

Abstract

The well known theorem of Rogosinski asserts that if the modulus of the sum of a power series is less than 1 in the open unit disk:

References

9

A Theorem Concerning Power Series

Harald Bohr · Proceedings of the London Mathematical Society · 1914 · 375 citations

, , +6

Bohr’s power series theorem in several variables

Harold P. Boas, Dmitry Khavinson · Proceedings of the American Mathematical Society · 1997 · 282 citations

, , +2

Multidimensional analogues of Bohr’s theorem on power series

Lev Aizenberg · Proceedings of the American Mathematical Society · 1999 · 204 citations · Full text

, , +10

Generation theory for semigroups of holomorphic mappingsin Banach spaces

Simeon Reich, David Shoikhet · Abstract and Applied Analysis · 1996 · 89 citations · Full text

, , +11

Generalization of a Theorem of Bohr for Bases in Spaces of Holomorphic Functions of Several Complex Variables

Lev Aizenberg, Aydın Aytuna, Plamen Djakov · Journal of Mathematical Analysis and Applications · 2001 · 71 citations

, , +4