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of 475
pro vyhledávání: '"42a05"'
Autor:
Wu, Bingyao, Zhu, Jie-Xiang
Fix an irrational number $\alpha$. Let $X_1,X_2,\cdots$ be independent, identically distributed, integer-valued random variables with characteristic function $\varphi$, and let $S_n=\sum_{i=1}^n X_i$ be the partial sums. Consider the random walk $\{S
Externí odkaz:
http://arxiv.org/abs/2411.15724
Autor:
Temur, Faruk, Sahillioğulları, Cihan
In this article we study two fundamental problems on exponential sums via randomization of frequencies with stochastic processes. These are the Hardy-Littlewood majorant problem, and $L^{2n}(\mathbb{T}), \ n\in \mathbb{N}$ norms of exponential sums,
Externí odkaz:
http://arxiv.org/abs/2411.06517
Autor:
Ostrovskii, Dmitrii M.
How hard is it to estimate a discrete-time signal $(x_{1}, ..., x_{n}) \in \mathbb{C}^n$ satisfying an unknown linear recurrence relation of order $s$ and observed in i.i.d. complex Gaussian noise? The class of all such signals is parametric but extr
Externí odkaz:
http://arxiv.org/abs/2411.03383
Autor:
Bergman, Alex
Let $f$ be an entire function of finite exponential type less than or equal to $\sigma$ which is bounded by $1$ on the real axis and satisfies $f(0) = 1$. Under these assumptions H\"ormander showed that $f$ cannot decay faster than $\cos(\sigma x)$ o
Externí odkaz:
http://arxiv.org/abs/2411.02226
We investigate here the sign uncertainty phenomenon for bandlimited functions, with a competing condition given by integration with respect to a general measure. Our main result provides a framework related to the theory of de Branges spaces of entir
Externí odkaz:
http://arxiv.org/abs/2408.01186
Autor:
Kalmykov, Sergei, Kovalev, Leonid V.
Publikováno v:
J. Math. Anal. Appl. 543 (2024), no. 2, 128995
We obtain a sharp bound on the number of self-intersections of a closed planar curve with trigonometric parameterization. Moreover, we show that a generic curve of this form is normal in the sense of Whitney.
Externí odkaz:
http://arxiv.org/abs/2407.12572
Autor:
Parrish, Andrew, Rosenblatt, Joseph
We investigate the almost everywhere convergence of sequences of convolution operators given by probability measures $\mu_n$ on $\mathbb R$. If this sequence of operators constitutes an approximate identity on a particular class of functions $\mathca
Externí odkaz:
http://arxiv.org/abs/2407.09406
Autor:
Oganesyan, Kristina
It is known that the inequality \begin{align*}\int_{-W/2}^{W/2}|\widehat{f}(\xi)|^2d\xi\leq \int_{-W/2}^{W/2}|\widehat{|f|^*}(\xi)|^2d\xi \end{align*} between the quadratic spectral concentration of a function and that of its decreasing rearrangement
Externí odkaz:
http://arxiv.org/abs/2406.14921
Autor:
Fernando, José F.
We present a full geometric characterization of the $1$-dimensional (semi\-algebraic) images $S$ of either $n$-dimensional closed balls $\overline{\mathcal B}_n\subset{\mathbb R}^n$ (of center the origin and radius $1$) or $n$-dimensional spheres ${\
Externí odkaz:
http://arxiv.org/abs/2406.09943
Autor:
Aliyev, Yagub
In the paper the maximum and the minimum of the ratio of the difference of the arithmetic mean and the geometric mean, and the difference of the power mean and the geometric mean of $n$ variables, is studied. A new optimization argument was used whic
Externí odkaz:
http://arxiv.org/abs/2405.11947