P. Monasse et V. Perrier, WAVELET BASES ON THE INTERVAL ADAPTED FOR BOUNDARY-CONDITIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(9), 1995, pp. 1163-1169
We introduce a theoretical and practical construction of wavelet bases
on the interval that take into account homogeneous boundary condition
s and are well suited to solve partial differential equations. We comp
ute the derivation operator in these bases and give an example Sor Dir
ichlet boundary conditions.