File Download

There are no files associated with this item.

  • Find it @ UNIST can give you direct access to the published full text of this article. (UNISTARs only)

Views & Downloads

Detailed Information

Cited time in webofscience Cited time in scopus
Metadata Downloads

CHARACTERISATIONS OF PARTITION OF UNITIES GENERATED BY ENTIRE FUNCTIONS IN \mathbb{C}^{d}

Author(s)
Christensen, OleKim, HongohKIM, Rae Young
Issued Date
2017-04
DOI
10.1017/S0004972716001052
URI
https://scholarworks.unist.ac.kr/handle/201301/21672
Fulltext
https://doi.org/10.1017/S0004972716001052
Citation
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.95, no.2, pp.281 - 290
Abstract
Collections of functions forming a partition of unity play an important role in analysis. In this paper we characterise for any (Formula presented.) the entire functions (Formula presented.) for which the partition of unity condition (Formula presented.) holds for all (Formula presented.) The general characterisation leads to various easy ways of constructing such entire functions as well. We demonstrate the flexibility of the approach by showing that additional properties like continuity or differentiability of the functions (Formula presented.) can be controlled. In particular, this leads to easy ways of constructing entire functions (Formula presented.) such that the functions in the partition of unity belong to the Feichtinger algebra.
Publisher
CAMBRIDGE UNIV PRESS
ISSN
0004-9727
Keyword (Author)
entire functionspartition of unityFeichtinger algebra
Keyword
GABOR FRAMES

qrcode

Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.