Hilbert transform of wavelets has been used to approximate functions in L 2 (R). It is proved tha... more Hilbert transform of wavelets has been used to approximate functions in L 2 (R). It is proved that Hilbert transform of wavelets with many vanishing moments does a good job in approximating smooth functions in L 2 (R). We also prove that Hölder continuity of a function helps in the decay of wavelet coefficients and thereby helps in approximating it. Finally, we give a result that relates the Hilbert transform of wavelet with dyadic scale differential operator and use it to decrease the wavelet coefficients.
Hilbert transform of wavelets has been used to approximate functions in L 2 (R). It is proved tha... more Hilbert transform of wavelets has been used to approximate functions in L 2 (R). It is proved that Hilbert transform of wavelets with many vanishing moments does a good job in approximating smooth functions in L 2 (R). We also prove that Hölder continuity of a function helps in the decay of wavelet coefficients and thereby helps in approximating it. Finally, we give a result that relates the Hilbert transform of wavelet with dyadic scale differential operator and use it to decrease the wavelet coefficients.
Hilbert transform of wavelets has been used to approximate functions in L 2 (R). It is proved tha... more Hilbert transform of wavelets has been used to approximate functions in L 2 (R). It is proved that Hilbert transform of wavelets with many vanishing moments does a good job in approximating smooth functions in L 2 (R). We also prove that Hölder continuity of a function helps in the decay of wavelet coefficients and thereby helps in approximating it. Finally, we give a result that relates the Hilbert transform of wavelet with dyadic scale differential operator and use it to decrease the wavelet coefficients.
Hilbert transform of wavelets has been used to approximate functions in L 2 (R). It is proved tha... more Hilbert transform of wavelets has been used to approximate functions in L 2 (R). It is proved that Hilbert transform of wavelets with many vanishing moments does a good job in approximating smooth functions in L 2 (R). We also prove that Hölder continuity of a function helps in the decay of wavelet coefficients and thereby helps in approximating it. Finally, we give a result that relates the Hilbert transform of wavelet with dyadic scale differential operator and use it to decrease the wavelet coefficients.
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Papers by Nikhil Khanna