Index Transforms for N-dimensional DFT's.
Josef Hekrdla (1987)
Numerische Mathematik
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Displaying similar documents to “Index Transforms for Multidimensional DFT's and Convolutions.”
Index Transforms for N-dimensional DFT's.
A characterization of Fourier transforms
Philippe Jaming (2010)
Colloquium Mathematicae
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The aim of this paper is to show that, in various situations, the only continuous linear (or not) map that transforms a convolution product into a pointwise product is a Fourier transform. We focus on the cyclic groups ℤ/nℤ, the integers ℤ, the torus 𝕋 and the real line. We also ask a related question for the twisted convolution.
Integral Equations with Transform Kernels and the Eigenproblem KCx = ...x.
L.F. SHAMPINE, J.W. BURGMEIER, R.D. RUSSELL (1971)
Numerische Mathematik
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Fourier Reconstruction in Tomography.
Frank Natterer (1985)
Numerische Mathematik
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H. Weber (1980/81)
Numerische Mathematik
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On a generalization of the convolution
E. Gesztelyi (1970)
Annales Polonici Mathematici
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Attenuation Factors in Practical Fourier Analysis.
W. Gautschi (1971/72)
Numerische Mathematik
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On a new approach to convolution constructions.
Yakubovich, S.B., Kalla, Shyam L. (1993)
International Journal of Mathematics and Mathematical Sciences
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Convolution in Colombeau's Spaces of Generalized Functions; Part I: the Space Ga and the A-integral
Marko Nedeljkov, Stevan Pilipović (1992)
Publications de l'Institut Mathématique
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