1 - 7 of 7 articles
We continue the work of Lopes Filho, Mazzucato and Nussenzveig Lopes  on the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary, shown there to converge to the inviscid limit in L
2-norm as long as the prescribed angular velocity α(t) of the...
Given a definable function f: ℝ
↦ ℝ, enough differentiable, we study the continuity of the total curvature function t → K(t), total curvature of the level f
−1(t), and the total absolute curvature function t → |K|(t), total absolute curvature of the level f
−1(t). We show they admits at most...
In this paper, we solve a family of Diophantine equations associated with families of number fields of degree 3. In fact, we use Baker’s method find all solutions to the Thue equation
\Phi _n (x,y) = x^3 - n(n^2 + n + 3)(n^2 + 2)x^2 y - (n^3 + 2n^2 + 3n + 3)xy^2 - y^3...
In this work we define operator-valued Fourier transforms for suitable integrable elements with respect to the Plancherel weight of a (not necessarily Abelian) locally compact group. Our main result is a generalized version of the Fourier inversion Theorem for strictly-unconditionally integrable...
In this paper we look at a special type of discrete subgroups of PSL
n+1(C) called Schottky groups. We develop some basic properties of these groups and their limit set when n > 1, and we prove that Schottky groups only occur in odd dimensions, i.e., they cannot be realized as subgroups of PSL...
Given a smooth curve of genus g ≥ 1 which admits a smooth projective embedding of dimension m over the ground field
of q elements, we obtain the asymptotic formula q
g+o(g) for the size of set of the
-rational points on its Jacobian in the case when m...
We introduce an invariant which measures the R-eccentricity of a point in a complete Riemannian manifold M and show that it goes to zero when the point goes to infinity, if M has asymptotically nonnegative curvature. As a consequence we show that the isometry group is compact if M has...
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