Condition numbers of Hankel matrices for exponential weights

We obtain the rate of growth of the largest eigenvalues and Euclidean condition numbers of the Hankel matrices ( I tj+kW2(t) dt)n j,k=0 for a general class of even exponential weights W2 = exp(−2Q) on an interval I . As particular examples, we discuss Q(x) = |x|α on I = R, and Q(x) = (d2 −x2)−α on I = [−d,d].  2005 Elsevier Inc. All rights reserved.