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Lacunary differentiability of functions in Rn

✍ Scribed by Calixto P Calderon

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
232 KB
Volume
40
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

Non-differentiability points of Cantor f
Non-differentiability points of Cantor functions
✍ Wenxia Li πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 176 KB

## Abstract Let the Cantor set __C__ in ℝ be defined by __C__ = βˆͺ^__r__^ ~__j__ =0~ __h~j~__ (__C__) with a disjoint union, where the __h~j~__ 's are similitude mappings with ratios 0 < __a~j~__ < 1. Let __ΞΌ__ be the self‐similar Borel probability measure on __C__ corresponding to the probability v