Abstract
AbstractThis is one of a number of papers in which the author studies the properties of the transform Hα(f) and allied operators. In this case, identities involving these operators and the Fourier transform are obtained, and these are applied in giving alternative proofs to certain inversion processes derived by the author elsewhere.
Publisher
Cambridge University Press (CUP)
Cited by
19 articles.
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1. A unified approach to fractional derivatives;Communications in Nonlinear Science and Numerical Simulation;2012-12
2. A Relation Between the Fractional Derivative and the Hilbert Transform;IFAC Proceedings Volumes;2012
3. CONVOLUTION FOR THE DISCRETE WAVELET TRANSFORM;International Journal of Wavelets, Multiresolution and Information Processing;2011-11
4. Two-Sided Fractional Derivatives;Fractional Calculus for Scientists and Engineers;2011
5. Counterexamples to the Discrete and Continuous Weighted Weiss Conjectures;SIAM Journal on Control and Optimization;2009-01