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What are integration on fractal?

Who can explain the proof of the formula (2.12) given here: J. Phys. A: Math. Gen. 20 (1987) 3861-3875. Printed in the UK http://ru.scribd.com/doc/118425928/Svozil-Quantum-Field-Theory-on-Fractal-Space-time It is easy to prove that in general case this formula is wrong!!!