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Explicit formula for the solution of the Szegö equation on the real line and applications
Szeg¨o equation integrable systems Lax pair Hankel operators soliton resolution
2011/1/21
We consider the cubic Szeg¨o equation i@tu = (|u|2u) in the Hardy space L2 +(R) on the upper half-plane, where is the Szeg¨o projector.
Quantitative Isoperimetric Inequalities on the Real Line
Quantitative Isoperimetric Inequalities the Real Line
2010/11/23
In a recent paper A. Cianchi, N. Fusco, F. Maggi, and A. Pratelli have shown that, in the Gauss space, a set of given measure and almost minimal Gauss boundary measure is necessarily close to be a hal...
The Point Mass Problem on the Real Line
point mass asymptotics orthogonal polynomials point mass asymptotics orthogonal polynomials
2010/12/1
This paper solves the point mass problem on the real line when the recurrence coefficients are asymptotically periodic.First, we give formulae for the perturbed orthogonal polynomi-als and the perturb...
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.
Hardy-Type Inequalities On The Real Line
Real Hardy's inequality Inequalities in $H_1$ spaces
2010/1/22
We prove a certain type of inequalities concerning the integral of the Fourier transform of a function integrable on the real line.
Characterization of Besov Spaces for the Dunkl Operator on the Real Line
Dunkl operators Dunkl transform Dunkl translation operators Dunkl convolution Besov-Dunkl spaces
2008/7/1
In this paper, we define subspaces of by differences using the Dunkl translation operators that we call Besov-Dunkl spaces. We provide characterization of these spaces by the Dunkl convolution.