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20022009
most citedRandom data Cauchy theory for supercritical wave equations I: Local theory

200 citations

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math.NT2002

Groupes de Selmer et accouplements

Bernadette Perrin-Riou

Nekovář vient de démontrer que le rang de $E(\Q)$ pour une courbe elliptique définie sur $\Q$ est de même parité que la multiplicité du zéro en de la fonction comp…

math.QA2002

The maximal order property for quantum determinantal rings

T H Lenagan, L Rigal

We develop a method of reducing the size of quantum minors in the algebra of n x n quantum matrices. The method is used to show that quantum determinantal factor rings of n x n qua…

math.QA2002

Ring theoretic properties of quantum grassmannians

A C Kelly, T H Lenagan, L Rigal

The m x n quantum grassmannian, G_q(m,n), is the subalgebra of the algebra of m x n quantum matrices that is generated by the maximal m x m quantum minors. Several properties of G_…

math.AP2002★ 23 cited

Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential

Nicolas Burq, Fabrice Planchon, John G. Stalker +1

We prove spacetime weighted-L^2 estimates for the Schrodinger and wave equation with an inverse-square potential. We then deduce Strichartz estimates for these equations.

math.OA2002★ 1 cited

Non-crossing cumulants of type B

Philippe Biane, Frederick Goodman, Alexandru Nica

We establish connections between the lattices of non-crossing partitions of type B introduced by V. Reiner, and the framework of the free probability theory of D. Voiculescu. Latti…

math.NT2002

Analytic p-adic Cell Decomposition and Integrals

Raf Cluckers

We prove a conjecture of Denef on parameterized -adic analytic integrals using an analytic cell decomposition theorem, which we also prove in this paper. This cell decomposition…