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Sets of points of discontinuity and differentiability of certain operators

✍ Scribed by E. N. Marchenko; N. V. Marchenko


Publisher
SP MAIK Nauka/Interperiodica
Year
1971
Tongue
English
Weight
280 KB
Volume
9
Category
Article
ISSN
0001-4346

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## 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