Classical Analysis and ODEs

Authors and titles for January 2025

[1] arXiv:2501.00424 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Minimal Riesz and logarithmic energies on the Grassmannian $\operatorname{Gr}_{2,4}$ Show Chinese title

Title: 极小Riesz和对数能量在Grassmann流形上的分布$\operatorname{Gr}_{2,4}$

Ujué Etayo, Pedro R. López-Gómez

Comments: 47 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Probability (math.PR)

[2] arXiv:2501.00441 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Moduli of continuity and absolute continuity: any relation? Show Chinese title

Title: 连续模和绝对连续性：有何关系？

Matteo Muratori, Jacopo Somaglia

Subjects: Classical Analysis and ODEs (math.CA) ; Functional Analysis (math.FA)

[3] arXiv:2501.00858 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Maximal estimates for averages over degenerate hypersurfaces Show Chinese title

Title: 关于退化超曲面的平均值的最大估计

Sewook Oh

Comments: 21 pages

Subjects: Classical Analysis and ODEs (math.CA)

[4] arXiv:2501.00864 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: When is the fractal uncertainty principle for discrete Cantor sets most uncertain? Show Chinese title

Title: 分形不确定性原理对于离散康托尔集何时最为不确定？

Chun-Kit Lai, Ruxi Shi

Subjects: Classical Analysis and ODEs (math.CA) ; Functional Analysis (math.FA)

[5] arXiv:2501.00901 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Unbounded growth of band-limited functions Show Chinese title

Title: 带限函数的无界增长

Lloyd N. Trefethen

Subjects: Classical Analysis and ODEs (math.CA) ; Numerical Analysis (math.NA)

[6] arXiv:2501.01208 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Riesz equilibrium on a ball in the external field of a point charge Show Chinese title

Title: Riesz平衡在点电荷外部场中的球上

Peter D. Dragnev, Ramon Orive, Eduard B. Saff, Franck Wielonsky

Subjects: Classical Analysis and ODEs (math.CA)

[7] arXiv:2501.01364 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Two characterizations of Sheffer-Dunkl sequences Show Chinese title

Title: 两个Sheffer-Dunkl序列的特征描述

Alejandro Gil Asensi, Judit Minguez Ceniceros

Subjects: Classical Analysis and ODEs (math.CA)

[8] arXiv:2501.01479 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On some quasianalytic classes of $C^\infty$ functions Show Chinese title

Title: 关于某些拟解析类的$C^\infty$函数

Abdelhafed Elkhadiri

Comments: arXiv admin note: substantial text overlap with arXiv:1911.01302

Subjects: Classical Analysis and ODEs (math.CA) ; Analysis of PDEs (math.AP)

[9] arXiv:2501.01572 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: The Engel--Minkowski question-mark function Show Chinese title

Title: 恩格尔-闵可夫斯基问号函数

Symon Serbenyuk

Comments: 8 pages

Subjects: Classical Analysis and ODEs (math.CA)

[10] arXiv:2501.01686 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Endpoint estimates for maximal operators associated to the wave equation Show Chinese title

Title: 与波动方程相关的最大算子的端点估计

Chu-Hee Cho, Sanghyuk Lee, Wenjuan Li

Subjects: Classical Analysis and ODEs (math.CA)

[11] arXiv:2501.01914 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Isosceles trapezoids of unit area with vertices in sets of infinite planar measure Show Chinese title

Title: 顶点在无限平面测度集合中的单位面积等腰梯形

Junnosuke Koizumi

Comments: 5 pages. Comments welcome!

Subjects: Classical Analysis and ODEs (math.CA) ; Combinatorics (math.CO) ; Metric Geometry (math.MG)

[12] arXiv:2501.02131 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Sum-product phenomena for Ahlfors-regular sets Show Chinese title

Title: Ahlfors-regular集的乘积和现象

William O'Regan

Comments: 10 pages, previous version contained a gap, see remark 1.6

Subjects: Classical Analysis and ODEs (math.CA) ; Combinatorics (math.CO) ; Metric Geometry (math.MG)

[13] arXiv:2501.02145 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Approximation by polynomials with only real critical points Show Chinese title

Title: 实临界点多项式的逼近

David L. Bishop

Comments: 50 pages, 14 figures

Journal-ref: Rev. Mat. Iberoam. 40(2024), no.6, 2251-2290

Subjects: Classical Analysis and ODEs (math.CA)

[14] arXiv:2501.02358 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: Chebyshev systems and Sturm oscillation theory for discrete polynomials Show Chinese title

Title: 切比雪夫系统和离散多项式的斯特姆振动理论

D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov

Comments: 31 pages

Subjects: Classical Analysis and ODEs (math.CA)

[15] arXiv:2501.02374 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Covering sponges with tubes Show Chinese title

Title: 覆盖海绵的管道

William O'Regan

Comments: 13 pages, accepted version

Subjects: Classical Analysis and ODEs (math.CA) ; Dynamical Systems (math.DS) ; Metric Geometry (math.MG)

[16] arXiv:2501.02936 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Asymptotic solutions of the boundary value problems for the singularly perturbed differential algebraic equations with a turning point Show Chinese title

Title: 奇异摄动微分代数方程在转折点处的边值问题的渐近解

P. Samusenko

Subjects: Classical Analysis and ODEs (math.CA)

[17] arXiv:2501.03532 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Improved packing of hypersurfaces in $\mathbb R^d$ Show Chinese title

Title: 改进的超曲面在$\mathbb R^d$中的打包

Xianghong Chen, Tongou Yang, Yue Zhong

Comments: 17 pages, 2 figures

Subjects: Classical Analysis and ODEs (math.CA)

[18] arXiv:2501.03918 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On generalized Mittag-Leffler-type functions of two variables Show Chinese title

Title: 关于两个变量的广义Mittag-Leffler型函数

Anvar Hasanov, Erkinjon Karimov

Comments: 16 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Analysis of PDEs (math.AP)

[19] arXiv:2501.04396 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On the solutions to linear systems of moment differential equations with variable coefficients Show Chinese title

Title: 关于变系数线性矩微分方程组的解

Alberto Lastra

Subjects: Classical Analysis and ODEs (math.CA)

[20] arXiv:2501.05972 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Analytical closed-form solution of the Bagley-Torvik equation Show Chinese title

Title: Bagley-Torvik方程的解析闭式解

Juan Luis González-Santander, Alexander Apelblat

Comments: 27 pages, 11 figures

Subjects: Classical Analysis and ODEs (math.CA)

[21] arXiv:2501.06152 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Uniform weighted inequalities for the Hankel transform transplantation operator Show Chinese title

Title: 均匀加权的Hankel变换移植算子不等式

Óscar Ciaurri

Subjects: Classical Analysis and ODEs (math.CA) ; Functional Analysis (math.FA)

[22] arXiv:2501.06495 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On sequences preserving summability Show Chinese title

Title: 关于保持可求和性的序列

Sławomir Michalik, Maria Suwińska, Bożena Tkacz

Comments: 25 pages

Journal-ref: Results Math 80, 114 (2025)

Subjects: Classical Analysis and ODEs (math.CA) ; Analysis of PDEs (math.AP) ; Complex Variables (math.CV)

[23] arXiv:2501.06567 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Two inequalities for commutators of singular integral operators satisfying Hörmander conditions of Young type Show Chinese title

Title: 奇异积分算子的换位子的两个不等式，满足Young型Hörmander条件

Yuru Li, Jiawei Tan, Qingying Xue

Comments: 42 pages

Subjects: Classical Analysis and ODEs (math.CA)

[24] arXiv:2501.06624 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Stieltjes differential systems with non monotonic derivators Show Chinese title

Title: 斯特尔蒂耶斯微分系统与非单调导数器

Marlène Frigon, F. Adrián F. Tojo

Journal-ref: Boundary Value Problems 2020 (1), 1-24

Subjects: Classical Analysis and ODEs (math.CA)

[25] arXiv:2501.06627 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Existence and uniqueness of solution for Stieltjes differential equations with several derivators Show Chinese title

Title: 斯特尔杰斯微分方程多个导数的存在性与唯一性

Ignacio Márquez Albés, F. Adrián F. Tojo

Journal-ref: Mediter. J. of Math 2021, 18:181

Subjects: Classical Analysis and ODEs (math.CA)

[26] arXiv:2501.07138 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Asymptotics for some $q$-hypergeometric polynomials Show Chinese title

Title: 一些$q$-超几何多项式的渐近性态

Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar

Journal-ref: Published in open access in the journal: Results in Mathematics 77 (2022), Art. 146

Subjects: Classical Analysis and ODEs (math.CA)

[27] arXiv:2501.07281 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Asymptotics of the Humbert functions $Ψ_1$ and $Ψ_2$ Show Chinese title

Title: Humbert函数$Ψ_1$和$Ψ_2$的渐近性态

Peng-Cheng Hang, Malte Henkel, Min-Jie Luo

Comments: 20 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Statistical Mechanics (cond-mat.stat-mech) ; High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph)

[28] arXiv:2501.07613 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: A general form of Newton-Maclaurin type inequalities Show Chinese title

Title: 牛顿-马克劳林型不等式的一般形式

Changyu Ren

Subjects: Classical Analysis and ODEs (math.CA)

[29] arXiv:2501.07943 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Optimization algorithms for Carleson and sparse collections of sets Show Chinese title

Title: Carleson 和稀疏集族的优化算法

Eline A. Honig, Emiel Lorist

Comments: 14 pages, 2 figures

Subjects: Classical Analysis and ODEs (math.CA) ; Combinatorics (math.CO)

[30] arXiv:2501.07966 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Quadratic variation and local times of the horizontal component of the Peano curve (square filling curve) Show Chinese title

Title: 二次变分和Peano曲线（平方填充曲线）水平分量的局部时间

Phumlani L. Zondi, Darlington Hove, Rafał M. Łochowski, Farai J. Mhlanga

Subjects: Classical Analysis and ODEs (math.CA) ; Probability (math.PR)

[31] arXiv:2501.08310 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Variations on hypergeometric functions Show Chinese title

Title: 超几何函数的变化

Michał Zakrzewski, Henryk Żołądek

Comments: 45 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Dynamical Systems (math.DS)

[32] arXiv:2501.08493 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Integration of monomials over the unit spere and unit ball in $R^n$ Show Chinese title

Title: 单位球面和单位球上单项式的积分在$R^n$中

Calixto P. Calderon, Alberto Torchinsky

Subjects: Classical Analysis and ODEs (math.CA)

[33] arXiv:2501.08596 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Chain rule formula and generalized mean value theorem for nabla fractional differentiation on time scale Show Chinese title

Title: nabla分数阶微分的链式法则公式和广义中值定理的时间尺度

Gaddiel L. Dorado, Mark Allien D. Roble

Subjects: Classical Analysis and ODEs (math.CA)

[34] arXiv:2501.08949 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On the Kurepa and inhomogeneous Cauchy functional equations Show Chinese title

Title: 关于库雷帕和非齐次柯西函数方程

Rashid Aliev, Vugar Ismailov

Comments: 10 pages; this article uses material from arXiv:2006.08946

Subjects: Classical Analysis and ODEs (math.CA)

[35] arXiv:2501.09199 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Weighted equilibrium and the flow of derivatives of polynomials Show Chinese title

Title: 加权平衡与多项式导数的流

Andrei Martinez-Finkelshtein, Evgenii A. Rakhmanov

Comments: 8 pages

Subjects: Classical Analysis and ODEs (math.CA)

[36] arXiv:2501.09508 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Factorization of solutions of linear differential equations Show Chinese title

Title: 线性微分方程解的分解

Janne Gröhn

Comments: 11 pages, revised version including no changes in mathematical content

Subjects: Classical Analysis and ODEs (math.CA) ; Complex Variables (math.CV)

[37] arXiv:2501.09564 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Almost sharp variational estimates for discrete truncated operators of Carleson type Show Chinese title

Title: 离散截断Carleson型算子的几乎精确变分估计

Jiecheng Chen, Renhui Wan

Comments: The remark regarding the jump inequality on page 3 only for the endpoint r=2 (r>2 is trivial), slightly make this change

Subjects: Classical Analysis and ODEs (math.CA) ; Functional Analysis (math.FA)

[38] arXiv:2501.10795 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: Poncelet pairs of a circle and parabolas from a confocal family and Painlevé VI equations Show Chinese title

Title: 圆和抛物线的Poncelet对以及Painlevé VI方程

Vladimir Dragović, Mohammad Hassan Murad

Subjects: Classical Analysis and ODEs (math.CA) ; Algebraic Geometry (math.AG) ; Dynamical Systems (math.DS) ; Metric Geometry (math.MG)

[39] arXiv:2501.10936 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Sophomore's dream function: asymptotics, complex plane behavior and relation to the error function Show Chinese title

Title: 青年梦函数：渐近性、复平面行为与误差函数的关系

V. Yu. Irkhin

Comments: 17 pages, discussion of infinite product representation is added

Subjects: Classical Analysis and ODEs (math.CA) ; History and Overview (math.HO)

[40] arXiv:2501.11033 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: A Littlewood-Paley approach to the Mittag-Leffler function in the frequency space and applications to nonlocal problems Show Chinese title

Title: 一种小波分解方法在频域中的Mittag-Leffler函数及其在非局部问题中的应用

Ahmed A. Abdelhakim

Subjects: Classical Analysis and ODEs (math.CA) ; Analysis of PDEs (math.AP)

[41] arXiv:2501.11092 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On Gegenbauer polynomials and Wronskian determinants of trigonometric functions Show Chinese title

Title: 关于Gegenbauer多项式和三角函数的Wronskian行列式

Minjian Yuan

Subjects: Classical Analysis and ODEs (math.CA) ; Numerical Analysis (math.NA) ; Probability (math.PR)

[42] arXiv:2501.11106 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: $L^{1}_{loc}$-convergence of Jacobians of Sobolev homeomorphisms via area formula Show Chinese title

Title: $L^{1}_{loc}$-收敛性：Sobolev同胚雅可比行列式的面积公式方法

Zofia Grochulska

Comments: 17 pages

Subjects: Classical Analysis and ODEs (math.CA)

[43] arXiv:2501.11367 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Spectrality of a measure consisting of two line segments Show Chinese title

Title: 测度的谱性由两个线段组成

Mihail N. Kolountzakis, Sha Wu

Comments: 17 pages, 6 figures

Subjects: Classical Analysis and ODEs (math.CA) ; Functional Analysis (math.FA)

[44] arXiv:2501.11598 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On the lower Riesz basis bound of exponential systems over an interval Show Chinese title

Title: 指数系统在区间上的较低Riesz基界

Thibaud Alemany, Shahaf Nitzan

Comments: 34 pages

Subjects: Classical Analysis and ODEs (math.CA)

[45] arXiv:2501.11652 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Reflection equation with piecewise constant argument Show Chinese title

Title: 带分段常数自变量的反射方程

Alberto Cabada, Paula Cambeses Franco

Comments: 58 pages, 21 figures

Subjects: Classical Analysis and ODEs (math.CA)

[46] arXiv:2501.11928 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Lacunary elliptic maximal operator on the Heisenberg group Show Chinese title

Title: 分形椭圆极大算子在Heisenberg群上

Joonil Kim, Jeongtae Oh

Subjects: Classical Analysis and ODEs (math.CA)

[47] arXiv:2501.12197 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Inequalities for an integral involving the modified Bessel function of the first kind Show Chinese title

Title: 涉及第一类修正贝塞尔函数积分的不等式

Robert E. Gaunt

Comments: 14 pages

Subjects: Classical Analysis and ODEs (math.CA)

[48] arXiv:2501.12413 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: The Laguerre constellation of classical orthogonal Polynomials Show Chinese title

Title: 经典正交多项式的拉盖尔星座

Roberto S. Costas-Santos

Comments: 18 pages, 1 figure, 1 table, Code in Wolfram Mathematica to obtain the results are provided

Journal-ref: Mathematics 13, no. 2 (2025), 277

Subjects: Classical Analysis and ODEs (math.CA)

[49] arXiv:2501.12742 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: A family of convolution operators, part one Show Chinese title

Title: 卷积算子族，第一部分

Zipeng Wang

Comments: We correct a gap found in Section 2 from the previous version. Moreover, we give a simpler estimate in Section 3

Subjects: Classical Analysis and ODEs (math.CA)

[50] arXiv:2501.12805 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: A fractal local smoothing problem for the wave equation Show Chinese title

Title: 波动方程的分形局部平滑问题

David Beltran, Joris Roos, Alex Rutar, Andreas Seeger

Comments: 20 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Analysis of PDEs (math.AP)