IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

"Compactly" supported frames for spaces of distributions on the ball

A 2010 Preprint by G. Kyriazis and P. Petrushev

  • 2010:04
  • Frames are constructed on the unit ball Bd in ℜd consisting of smooth functions with small shrinking supports. The new frames are designed so that they can be used for decomposition of weighted Triebel Lizorkin and Besov spaces on Bd with weight ωμ(χ):= (1 - │χ2)μ-1/2, μ half interger, μ ≥ 0.

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