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We study a class of ultra-parabolic equations, it is a high order degenerate parabolic operators of Hormander type, so it is strongly degenerate, but we prove that this class operators possesses the a...
We obtain new mixed-norm estimates and geometric results on projections. In the proof we introduce a new quantity called s-amplitude, and interpolate analytically not only on p,q, but also on dimensio...
The aim of ANALCO is to provide a forum for the presentation of original research in the analysis of algorithms and associated combinatorial structures. We invite both papers that study properties of ...
Commissioned by Chinese Mathematical Society, the Academic Committee of Banach Space Theory and Applied Functional Analysis of China and Xinjiang University agreed to hold the “6th International Confe...
It is shown that the singular set for the Yang-Mills flow on unstable holomorphic vector bundles over compact K¨ahler manifolds is completely determined by the Harder-NarasimhanSeshadri filtration of ...
We show that a germ of a real analytic Lorentz metric on R 3 which is locally homogeneous on an open set containing the origin in its closure is necessarily locally homogeneous. We classifiy L...
In 1969, P. Deligne and D. Mumford compactified the modulispace of curves Mg,n. Their compactification Mg,n is a projective algebraic variety, and as such, it has an underlying analytic structure. Alt...
The aim of this paper is to give a purely rigid-analytic development of the theory of canonical subgroups with arbitrary torsion-level in generalized elliptic curves over rigid spaces over k (using L...
In the theory of schemes, faithfully at descent is a very powerful tool. One wants a descent theory not only for quasi-coherent sheaves and morphisms of schemes (which is rather elementary), but al...
Fractional Analytic Index     Fractional  Analytic Index       2015/3/19
Fractional Analytic Index.
We present the results of a large number of careful numerical experiments carried out to investigate the way that the solution of the integrable focusing nonlinear Schrodinger equation with - xed ini...
In [2], the authors introduce the Keldych-Sedov formula for analytic functions in the upper half-plane, namely the representation of solutions of the mixed boundary value problem for analytic functi...
Typical cohorts in brain imaging studies are not large enough for systematic testing of all the information contained in the images. To build testable working hypotheses, investigators thus rely on an...
We prove that, for every $\alpha > -1$, the pull-back measure $\phi ({\cal A}_\alpha)$ of the measure $d{\cal A}_\alpha (z) = (\alpha + 1) (1 - |z|^2)^\alpha \, d{\cal A} (z)$, where ${\cal A}$ is the...
For a non-compact hyperbolic 3-manifold with cusps we prove an explicit formula that relates the regularized analytic torsion associated to the even symmetric powers of the standard representation of ...

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