Zobrazeno 1 - 10
of 272
pro vyhledávání: '"43A25"'
Autor:
Carneiro, Emanuel, Das, Mithun Kumar
In this paper we provide a detailed study on effective versions of the celebrated Bilu's equidistribution theorem for Galois orbits of sequences of points of small height in the $N$-dimensional algebraic torus, identifying the qualitative dependence
Externí odkaz:
http://arxiv.org/abs/2411.16294
Autor:
Johnsrude, Ben
We prove a small cap decoupling theorem for the parabola over a general non-Archimedean local field for which $2\neq 0$. We obtain polylogarithmic dependence on the scale parameter $R$ and polynomial dependence in the residue prime, except for the pr
Externí odkaz:
http://arxiv.org/abs/2409.09163
Autor:
Kolountzakis, Mihail N.
In this paper we go over the history of the Fuglede or Spectral Set Conjecture as it has developed over the last 30 years or so. We do not aim to be exhaustive and we do not cover important areas of development such as the results on the problem in c
Externí odkaz:
http://arxiv.org/abs/2408.15361
Autor:
Fraser, Jonathan M.
The Fourier transform plays a central role in many geometric and combinatorial problems cast in vector spaces over finite fields. In general, sets with good uniform bounds for the Fourier transform are less structured, more `random', and can often be
Externí odkaz:
http://arxiv.org/abs/2407.08589
Autor:
Johnsrude, Ben, Lin, Zuo
We prove a restricted projection theorem for Borel subsets of $\mathbb{Q}_p^n$ in the regime $p>n$. This generalizes results of Gan-Guo-Wang in the real setting. Our result is effective in the sense that explicit constants are obtained for various co
Externí odkaz:
http://arxiv.org/abs/2406.19473
Autor:
Feldman, Gennadiy
The well-known Heyde theorem characterizes the Gaussian distributions on the real line by the symmetry of the conditional distribution of one linear form of independent random variables given another. We generalize this theorem to groups of the form
Externí odkaz:
http://arxiv.org/abs/2405.20087
Autor:
Dabra, Arvish, Kumar, N. Shravan
For a locally compact group $G$ and $1 < p < \infty,$ let $B_p(G)$ denote the $p$-analog of the Fourier-Stieltjes algebra $B(G) \, (\text{or} \, B_2(G))$. Let $r: B_p(G) \to B_p(H)$ be the restriction map given by $r(u) = u|_H$ for any closed subgrou
Externí odkaz:
http://arxiv.org/abs/2405.14227
Autor:
Feldman, Gennadiy
We prove the following group analogue of the well-known Heyde theorem on a characterization of the Gaussian distribution on the real line. Let $X$ be a second countable locally compact Abelian group containing no subgroups topologically isomorphic to
Externí odkaz:
http://arxiv.org/abs/2405.02789
To a non-trivial word $w(x_{1},...,x_{r})$ in a free group $F_{r}$ on $r$ elements and a group $G$, one can associate the word map $w_{G}:G^{r}\rightarrow G$ that takes an $r$-tuple $(g_{1},...,g_{r})$ in $G^{r}$ to $w(g_{1},...,g_{r})$. If $G$ is co
Externí odkaz:
http://arxiv.org/abs/2402.11108
In this paper we continue the study of the nonvanishing minors property (NVM) initiated by Garcia, Karaali and Katz, for the compressed Fourier matrix attached to a subgroup $H$ of the multiplicative group of a finite field $\mathbb{F}_q$ and a chara
Externí odkaz:
http://arxiv.org/abs/2310.09992