ﻻ يوجد ملخص باللغة العربية
In the present work we provide the bounds for Daubechies orthonormal wavelet coefficients for function spaces $mathcal{A}_k^p:={f: |(i omega)^khat{f}(omega)|_p< infty}$, $kinmathbf{N}cup{0}$, $pin(1,infty)$.
We present algorithms to numerically evaluate Daubechies wavelets and scaling functions to high relative accuracy. These algorithms refine the suggestion of Daubechies and Lagarias to evaluate functions defined by two-scale difference equations using
We demonstrate that Daubechies wavelets can be used to construct a minimal set of optimized localized contracted basis functions in which the Kohn-Sham orbitals can be represented with an arbitrarily high, controllable precision. Ground state energie
We consider the construction of orthonormal directional wavelet bases in the multi-resolution analysis (MRA) framework with quincunx dilation downsampling. We show that the Parseval frame property in MRA is equivalent to the identity summation and sh
We bring a precision to our cited work concerning the notion of Borel measures, as the choice among different existing definitions impacts on the validity of the results.
Daubechies wavelets are a powerful systematic basis set for electronic structure calculations because they are orthogonal and localized both in real and Fourier space. We describe in detail how this basis set can be used to obtain a highly efficient