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3. Let {B,}~p be a Brownian motion starting at z (, d) with 0: B, & (c,d)}. (a) Using the strong Markov property of {B:}i>0

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3. Let {B,}~p be a Brownian motion starting at z (, d) with 0: B, & (c,d)}. (a) Using the strong Markov property of {B:}i>0 show that u(z) = F.(B, = d) is a harmonic function, namely, u(z) = (u(z + ) + u(z r))/2 for any

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