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Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients
point perturbation bounded variation asymptotics of orthogonal polynomials
2010/12/1
We present the construction of a probability measure d with compact support on R such that adding a discrete pure point results in changes in the recursion coecients without expo-
nential decay.
Muntz-type theorems on the half-line with weights
Muntz-type theorems half-line with weights
2010/12/14
We consider the linear span S of the functions tak (with some ak > 0)in weighted L2 spaces, with rather general weights. We give one necessary and one sufficient condition for S to be dense. Some comp...
An integrable generalization of the sine-Gordon equation on the half-line
Inverse spectral theory Riemann-Hilbert problem boundary value problem
2010/4/7
We analyze a generalization of the sine-Gordon equation in laboratory coordinates on the half-line. Using the Fokas transform method for the analysis of initial-boundary value problems for integrable ...
A formula for Euler characteristic of line singularities on singular spaces
Euler characteristic line singularities singular spaces
2010/10/29
We prove an algebraic formula for the Euler characteristic of the Milnor fibres of functions with critical locus a smooth curve on a space which is a weighted homogeneous complete intersection with is...