TY  - INPR
A1  - Akram, Muhammad
A1  - Michel, Volker
T1  - Locally Supported Approximate Identities on the Unit Ball
N2  - We present a constructive theory for locally supported approximate identities on the unit ball in \(\mathbb{R}^3\). The uniform convergence of the convolutions of the derived kernels with an arbitrary continuous function \(f\) to \(f\), i.e. the defining property of an approximate identity, is proved. Moreover, an explicit representation for a class of such kernels is given. The original publication is available at www.springerlink.com
T3  - Schriften zur Funktionalanalysis und Geomathematik - 30 
KW  - Kompakter Träger <Mathematik>
KW  - Multivariate Approximation
KW  - Gleichmäßige Approximation
KW  - Faltung <Mathematik>
KW  - Kugel
KW  - lokaler Träger
KW  - lokal kompakt
KW  - approximative Identität
KW  - explizite Darstellung
KW  - local support
KW  - locally compact
KW  - approximate identity
KW  - explicit representation
Y1  - 2006
UR  - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1837
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-14809
ER  -