On the stability of Powell–Sabin Wavelets

نویسندگان

  • Jan Maes
  • Adhemar Bultheel
چکیده

Recently we developed multiscale spaces of C piecewise quadratic polynomials relative to arbitrary polygonal domains Ω ⊂ R. These multiscale bases are weakly stable with respect to the L2 norm. In this paper we show that these bases form strongly stable Riesz bases for the Sobolev spaces Hs(Ω) with s ∈ (2, 5 2 ).

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تاریخ انتشار 2004