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On the Hilbert transform of wavelets
Hilbert transform wavelets localization vanishing moments
2011/9/19
Abstract: A wavelet is a localized function having a prescribed number of vanishing moments. In this correspondence, we provide precise arguments as to why the Hilbert transform of a wavelet is again ...
We prove that the analogue for the Hilbert transform of a classical weighted inequality by Fefferman and Stein for the Hardy Littlewood maximal operator does not hold. This is a sequel to paper arXiv:...
Approximating the Finite Hilbert Transform via an Ostrowski Type Inequality for Functions of Bounded Variation
Finite Hilbert Transform Ostrowski's Inequality
2008/7/2
Using the Ostrowski type inequality for functions of bounded variation, an approximation of the finite Hilbert Transform is given. Some numerical experiments are also provided.