TY  - CONF
A1  - De Schepper, Nele
A1  - Brackx, Fred
A1  - Sommen, Frank
A2  - Gürlebeck, Klaus
A2  - Könke, Carsten
T1  - THE FOURIER-BESSEL TRANSFORM
N2  - In this paper we devise a new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier-Bessel transform. It appears that in the two-dimensional case, it coincides with the Clifford-Fourier and cylindrical Fourier transforms introduced earlier. We show that this new integral transform satisfies operational formulae which are similar to those of the classical tensorial Fourier transform. Moreover the L2-basis elements consisting of generalized Clifford-Hermite functions appear to be eigenfunctions of the Fourier-Bessel transform.
KW  - Angewandte Informatik
KW  - Angewandte Mathematik
KW  - Architektur <Informatik>
KW  - Computerunterstütztes Verfahren
KW  - Computer Science Models in Engineering; Multiscale and Multiphysical Models; Scientific Computing
Y1  - 2010
UR  - https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/2838
UR  - https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170314-28387
UR  - http://euklid.bauing.uni-weimar.de/ikm2009/paper.html
SN  - 1611-4086
ER  -