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A kernel method is proposed to estimate the condensed density of the generalized eigenvalues of pencils of Hankel matrices whose elements have a joint noncentral Gaussian distribution with nonidentica...
Abstract: In a noncommutative algebra there is no canonical way to express elements in univalent way, which is often called "ordering problem". In this note we give product formula of the Weyl algebra...
Abstract: Let A,B be two square complex matrices of dimension at most 3. We show that the following conditions are equivalent i) There exists a finite subset U included in {2,3,4,...} such that for ev...
The Feichtinger conjecture for exponentials asserts that the following property holds for every fat Cantor subset B of the circle group: the set of restrictions to B of exponential functions can be co...
We prove a recursive identity involving formal iterated logarithms and for-mal iterated exponentials. These iterated logarithms and exponentials appear in a nat-ural extension of the logarithmic forma...
The assessment of volcanic hazard is the first step for disaster mitigation. The distribution of repose periods between eruptions provides important information about the probability of new eruptions ...
The assessment of volcanic hazard is the first step for disaster mitigation. The distribution of repose periods between eruptions provides important information about the probability of new eruptions ...
Let Q be a compactum in~\mathbb{R}p, p\geqslant1, such that int Q\neq\varnothing and Q=\overline{ int Q}. Denote by C\infty[Q] the space of functions from C\infty( int Q) uniformly continuous in int Q...
We first propose two conjectural estimates on Diophantine approximation of logarithms of algebraic numbers. Next we discuss the state of the art and we give further partial results on this topic.
The Cauchy problem for the equation \begin{equation} Mw\equiv \sumj=0m\sums=0ljas,j\frac{\partials+jw(z1,z2)}{\partial z1s\partial z2j}=0 \end{equation} \begin{equation} \frac{\partialnw(z1,z2)}{\part...

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