Summary
The properties of integral transforms (Laplace, Fourier, Stieltjes) of multifractal measures associated with affine IFSP are analyzed in detail. Closed form expressions are obtained for a particular class of affine IFSP labeled unimodular. The theory is applied to such engineering problems as scattering from fractals and reactions in continuous mixtures, and to integral (Volterra-type) equations involving singular (multifractal) kernels.
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© 1997 Springer-Verlag London Limited
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Giona, M., Patierno, O. (1997). Integral Transforms of Multifractal Measures. In: Lévy Véhel, J., Lutton, E., Tricot, C. (eds) Fractals in Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0995-2_2
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DOI: https://doi.org/10.1007/978-1-4471-0995-2_2
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