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The semiclassical limit of focusing NLS for a family of non-analytic initial data
semiclassical limit non-analytic initial data NLS
2011/7/7
The small dispersion limit of the focusing nonlinear Schro\"odinger equation (NLS) exhibits a rich structure of sharply separated regions exhibiting disparate rapid oscillations at microscopic scales....
A uniqueness theorem for bounded analytic functions on the polydisc
uniqueness theorem bounded analytic functions polydisc
2011/2/21
For each n,N ≥ 1 let IN(Dn) denote the set of rational inner functions on Dn of degree strictly less than N. We construct a set of points 1, ..., Nn ∈ Dn with the following property: if f ∈ IN(Dn) a...
The mathematical problem of the static storage optimization is formulated and solved by means of a variational analysis. The solution obtained in implicit form is shedding light on the most important ...
Inversion of analytic characteristic functions and infinite convolutions of exponential and Laplace densities
Infinite convolutions characteristic function entire functions
2010/12/1
We prove that certain quotients of entire functions are characteristic functions. Under some conditions,the probability measure corresponding to a characteristic function of that type has a density wh...