31,977 research outputs found
Limit points of the monotonic schemes
Many numerical simulations in quantum (bilinear) control use the
monotonically convergent algorithms of Krotov (introduced by Tannor), Zhu &
Rabitz or the general form of Maday & Turinici. This paper presents an analysis
of the limit set of controls provided by these algorithms and a proof of
convergence in a particular case.Comment: 5 pages, 0 figure, 44th IEEE conference on Decision and Control
Sevilla december 200
Topological convolution algebras
In this paper we introduce a new family of topological convolution algebras
of the form , where is a Borel
semi-group in a locally compact group , which carries an inequality of the
type for where pre-assigned,
and is a constant. We give a sufficient condition on the measures
for such an inequality to hold. We study the functional calculus and
the spectrum of the elements of these algebras, and present two examples, one
in the setting of non commutative stochastic distributions, and the other
related to Dirichlet series.Comment: Corrected version, to appear in Journal of Functional Analysi
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