Wavelets with Complementary Boundary Conditions — Function Spaces on the Cube |
| |
Authors: | Wolfgang Dahmen Reinhold Schneider |
| |
Institution: | 1. Institut für Geometrie und Praktische Mathematik RWTH Aachen, Templergraben 55, 52056, Aachen, Germany 2. Fakult?t für Mathematik Technische Universit?t Chemnitz-Zwickau, 09107, Chemnitz, Germany
|
| |
Abstract: | 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 any desired selection of boundary facets. The essential point is that the primal and dual wavelets satisfy 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|