A characterization of wavelet convergence in sobolev spaces

Abstract

We characterize uniform convergence rates in Sobolev and local Sobolev spaces for multiresolution analyses.

Keywords:

• Wavelets
• Sobolev spaces
• Convergence rates

AMS:

• 42Cl5
• 40A30

^*Dedicated to Professor Robert Carroll on the occasion of his 70th birthday.

^† mkonu.edu

^‡ larscs.howard.edu

^*Dedicated to Professor Robert Carroll on the occasion of his 70th birthday.

^† mkonu.edu

^‡ larscs.howard.edu

Notes

^*Dedicated to Professor Robert Carroll on the occasion of his 70th birthday.

^† mkonu.edu

^‡ larscs.howard.edu