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Contents of PMS, Vol. 10, Fasc. 2,
pages 277 - 281
 

A FUNCTIONAL CALCULUS BASED ON FEYNMAN KAC FORMULA

Andrzej Hulanicki

Abstract: It is proved that if

integral oo Hf = cE(c)f 0
is a spectral resolution of a Schrödinger operator H = -D + V on d R with d V (- K loc., V (x) > 0 and a V (x) > C |x| for some a > 0 and |x|> C, then there exists an N such that if N K (- C c , then the operator

integral oo K(c)dE(c) 0
is bounded on LP(Rd), 1 < p < oo .

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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