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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...
MODULAR CURVES AND RIGID-ANALYTIC SPACES     MODULAR CURVES  RIGID-ANALYTIC SPACES       font style='font-size:12px;'> 2015/7/6
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...
Fractional Analytic Index     Fractional  Analytic Index       font style='font-size:12px;'> 2015/3/19
Fractional Analytic Index.
Unlike Toeplitz operators on H2, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
We discuss a class of normal forms of the completely resonant non–linear Schr¨odinger equation on a torus. We stress the geometric and combinatorial constructions arising from this study. Further anal...
We establish a Feynman-Kac-type formula to define fractional Schr\"odinger operators for fractional Kato-decomposable potentials as self-adjoint operators. In this functional integral representation ...
In this work we study a problem about analytic continuation along parallel algebraic curves
We give an entirely new approach to the problem of mutually unbiased bases (MUBs), based on a Fourier analytic technique in additive combinatorics. The method provides a short and elegant generalizat...
We consider analytic continuations of Fourier transforms and Stieltjes transforms. This nables us to gen-eralize moments for some class of probability measures which do not have moments in the usual ...
Using Salagean differential operator, we study new subclasses of analytic functions. Coefficient inequalities and distortion theorems and extreme points of these classes are studied. Furthermore, inte...
A class of univalent functions which provides an interesting transition from starlike functions to convex functions is defined by making use of the Ruscheweyh derivative. Some coefficient inequalities...
Following the success of five previous conferences held in Flint (1995), Winnipeg (1998), Leuven (2000), Adelaide (2002), and Pisa (2005), the sixth international conference on matrix-analytic methods...
It is shown that the nonlinear wave equation $\partial_t^2\phi - \partial^2_x \phi -\mu_0\partial_x(\partial_x\phi)^3 =0$, which is the continuum limit of the Fermi-Pasta-Ulam (FPU) beta model, has a...

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