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Matrices Associated with Fractional Hankel and Fourier Transformations
Published online by Cambridge University Press: 18 May 2009
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Several writers (4), (6), (7), (9) have used orthogonal expansions in discussing properties of Fourier transformations, and Kober (3) has used such expansions to derive fractional Fourier and Hankel transformations. In 1950 Barrucand (1) noted a reciprocity holding between the coefficients in the expansions in Laguerre polynomials of pairs of functions which are transforms with respect to the kernel J0(2x½).
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- Copyright © Glasgow Mathematical Journal Trust 1956
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