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- aggregation classification "A1".
- aggregation creator B539746.
- aggregation creator person.
- aggregation date "2011".
- aggregation format "application/pdf".
- aggregation hasFormat 1113155.bibtex.
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- aggregation isPartOf urn:issn:1073-7928.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "On the clifford-fourier transform".
- aggregation abstract "For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on R(m) defined with a kernel function K(x, y) := e(i pi/2) Gamma Ye(-i){x,y}, replacing the kernel e(i < x,y >) of the ordinary Fourier transform, where Gamma(y) :=- Sigma(j<k) e(j)e(k)(Y(j)partial derivative(Yk) - Y(k)partial derivative(Yj)). An explicit formula of K(x, y) is derived, which can be further simplified to a finite sum of Bessel functions when m is even. The closed formula of the kernel allows us to study the Clifford-Fourier transform and prove the inversion formula, for which a generalized translation operator and a convolution are defined and used.".
- aggregation authorList BK889525.
- aggregation endPage "5163".
- aggregation issue "22".
- aggregation startPage "5123".
- aggregation aggregates 1933438.
- aggregation isDescribedBy 1113155.
- aggregation similarTo rnq288.
- aggregation similarTo LU-1113155.