- Title
- The fractional Clifford-Fourier Kernel
- Creator
- Craddock, M. J.; Hogan, J. A.
- Relation
- Journal of Fourier Analysis and Applications Vol. 19, Issue 4, p. 683-711
- Publisher Link
- http://dx.doi.org/10.1007/s00041-013-9274-5
- Publisher
- Birkhaeuser Science
- Resource Type
- journal article
- Date
- 2013
- Description
- The Clifford-Fourier transform was introduced by Brackx, De Schepper and Sommen who subsequently computed its kernel in dimension d=2. Here we compute the kernel of a fractional version of the transform when d=2 and 4. In doing so we solve appropriate wave-type problems on spheres in two and four dimensions. We also give formulae for the solutions of these problems in all even dimensions and hence a means of computing the fractional Clifford-Fourier kernels in even dimensions.
- Subject
- fractional Fourier transform; Clifford analysis; Clifford-Fourier transform
- Identifier
- http://hdl.handle.net/1959.13/1057008
- Identifier
- uon:16113
- Identifier
- ISSN:1069-5869
- Language
- eng
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