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1.
Let μ be a real measure on the line such that its Poisson integral M(z) converges and satisfies|M(x+iy)|Ae−cyα, y→+∞,for some constants A,c>0 and 0<α1. We show that for 1/2<α1 the measure μ must have many sign changes on both positive and negative rays. For 0<α1/2 this is true for at least one of the rays, and not always true for both rays. Asymptotical bounds for the number of sign changes are given which are sharp in some sense. 相似文献
2.
We consider boolean circuits C over the basis Ω={,} with inputs x1, x2,…,xn for which arrival times are given. For 1in we define the delay of xi in C as the sum of ti and the number of gates on a longest directed path in C starting at xi. The delay of C is defined as the maximum delay of an input.Given a function of the form
f(x1,x2,…,xn)=gn−1(gn−2(…g3(g2(g1(x1,x2),x3),x4)…,xn−1),xn)