A convolution integral for Fourier transforms on the groupSL(2,C) |
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Authors: | W Rühl |
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Institution: | (1) CERN, Geneva |
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Abstract: | The Fourier transform of a product of two functions onSL(2,C) is expressed as a convolution integral of the Fourier transforms of its factors. With the help of this convolution integral we present the Fourier transform of a polynomially bounded function as a finite linear combination of analytic delta functionals applied to a continuous function on the real line in an improper sense. |
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