Zobrazeno 1 - 10
of 371
pro vyhledávání: '"Anderson, Theresa"'
A series of longstanding questions in harmonic analysis ask if the intersection of all prime ``$p$-adic versions" of an object, such as a doubling measure, or a Muckenhoupt or reverse H\"older weight, recovers the full object. Investigation into thes
Externí odkaz:
http://arxiv.org/abs/2409.18230
We study the Galois groups $G_f$ of degree $2n$ reciprocal (a.k.a. palindromic) polynomials $f$ of height at most $H$, finding that $G_f$ falls short of the maximal possible group $S_2 \wr S_n$ for a proportion of all $f$ bounded above and below by c
Externí odkaz:
http://arxiv.org/abs/2406.18970
Using a wide array of machinery from diverse fields across mathematics, we provide a construction of a measure on the real line which is doubling on all $n$-adic intervals for any finite list of $n\in\mathbb{N}$, yet not doubling overall. In particul
Externí odkaz:
http://arxiv.org/abs/2310.17615
We decompose the discrete bilinear spherical averaging operator into simpler operators in several ways. This leads to a wide array of extensions, such as to the simplex averaging operator, and applications, such as to operator bounds.
Externí odkaz:
http://arxiv.org/abs/2305.14346
We prove that a maximally modulated singular oscillatory integral operator along a hypersurface defined by $(y,Q(y))\subseteq \mathbb{R}^{n+1}$, for an arbitrary non-degenerate quadratic form $Q$, admits an a priori bound on $L^p$ for all $1
Externí odkaz:
http://arxiv.org/abs/2211.15865
We examine the class of weakly porous sets in Euclidean spaces. As our first main result we show that the distance weight $w(x)=\operatorname{dist}(x,E)^{-\alpha}$ belongs to the Muckenhoupt class $A_1$, for some $\alpha>0$, if and only if $E\subset\
Externí odkaz:
http://arxiv.org/abs/2209.06284
Autor:
Anderson, Theresa C., Gafni, Ayla, Hughes, Kevin, Oliver, Robert J. Lemke, Lowry-Duda, David, Thorne, Frank, Wang, Jiuya, Zhang, Ruixiang
We study the number of degree $n$ number fields with discriminant bounded by $X$. In this article, we improve an upper bound due to Schmidt on the number of such fields that was previously the best known upper bound for $6 \leq n \leq 94$.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/2204.01651
Publikováno v:
In Journal of Functional Analysis 15 October 2024 287(8)
Publikováno v:
In Journal of Functional Analysis 1 November 2024 287(9)
Publikováno v:
The Quarterly Journal of Mathematics (2022)
In a recent work of Anderson and Hu, the authors constructed a measure that was $p$-adic and $q$-adic doubling, for any primes $p$ and $q$, yet not doubling. This work relied heavily on a developed number theory framework. Here we develop this framew
Externí odkaz:
http://arxiv.org/abs/2108.04155