Current Development in Theory and Applications of Wavelets
Volume 1, Issue 2, Pages 197 - 234
(August 2007)
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POINTWISE CONVERGENCE OF HAAR TYPE WAVELETS ON SELF-SIMILAR SETS
Andreas Brodin (Sweden)
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Abstract:
On a self-similar fractal set we use wavelets of Haar type as an orthonormal system of functions. Given a function of certain regularity we ask whether derivatives of its wavelet expansion will converge pointwise toward derivatives of the function. |
| Keywords and phrases: wavelets, fractals, pointwise convergence. |
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