Wavelets with Complementary Boundary Conditions { Function Spaces on the
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چکیده
This paper is concerned with the construction of biorthogonal wavelet bases on n-dimensional cubes which provide Riesz bases for Sobolev and Besov spaces with homogeneous Dirichlet boundary conditions on part of the boundary. The essential point is that the primal and dual wavelets satisfy certain corresponding complementary boundary conditions. These results form the key ingredients of the construction of wavelet bases on manifolds DS2] that have been developed for the treatment of operator equations of positive and negative order.
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تاریخ انتشار 1998