VECTOR AND BIVECTOR FOURIER TRANSFORMS IN CLIFFORD ANALYSIS

De Bie, Hendrik; Sommen, Frank

In the past, several types of Fourier transforms in Clifford analysis have been studied. In this paper, first an overview of these different transforms is given. Next, a new equation in a Clifford algebra is proposed, the solutions of which will act as kernels of a new class of generalized Fourier transforms. Two solutions of this equation are studied in more detail, namely a vector-valued solution and a bivector-valued solution, as well as the associated integral transforms.

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De Bie, Hendrik / Sommen, Frank: VECTOR AND BIVECTOR FOURIER TRANSFORMS IN CLIFFORD ANALYSIS. 2010.

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