Classical Analysis and ODEs

Authors and titles for May 2024

[1] arXiv:2405.00120 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Riesz Energy with a Radial External Field: When is the Equilibrium Support a Sphere? Show Chinese title

Title: Riesz 能量与径向外部场：平衡支撑何时为球体？

Djalil Chafaï, Ryan W. Matzke, Edward B. Saff, Minh Quan H. Vu, Robert S. Womersley

Comments: 34 pages, 6 figures

Subjects: Classical Analysis and ODEs (math.CA)

[2] arXiv:2405.00325 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: Asymptotics of Saran's hypergeometric function $F_K$ Show Chinese title

Title: Saran超几何函数的渐进行为$F_K$

Peng-Cheng Hang, Min-Jie Luo

Comments: 18 pages

Subjects: Classical Analysis and ODEs (math.CA)

[3] arXiv:2405.00464 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On the best constants of Schur multipliers of second order divided difference functions Show Chinese title

Title: 关于二阶差商函数的Schur乘子的最佳常数

Martijn Caspers, Jesse Reimann

Comments: Extended proof of Theorem B + many small improvements. To appear in Mathematische Annalen

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

[4] arXiv:2405.01081 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Muckenhoupt-Type Weights and Quantitative Weighted Estimate in the Bessel Setting Show Chinese title

Title: Muckenhoupt型权重和Bessel情形下的定量加权估计

Ji Li, Chong-Wei Liang, Chun-Yen Shen, Brett D. Wick

Comments: 27 pages

Subjects: Classical Analysis and ODEs (math.CA)

[5] arXiv:2405.01283 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Fractional Bloom boundedness of commutators in spaces of homogeneous type Show Chinese title

Title: 齐次类型空间中换位子的分数Bloom有界性

Zhenbing Gong, Ji Li, Jaakko Sinko

Comments: 30 pages; Main results unchanged. Fixed an oversight with the weight constants in the final theorem. This resulted from the use of the opposite non-degeneracy condition in section 4.2 when compared to the rest of the paper. Added Proposition 4.12 to move the argument between the two conditions. Added a reference and corrected typos

Subjects: Classical Analysis and ODEs (math.CA)

[6] arXiv:2405.02352 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Adventitious angles problem: the lonely fractional derived angle Show Chinese title

Title: 偶然角问题：孤独的分数导出角

Yong Kong, Shaowei Zhang

Journal-ref: American Mathematical Monthly, 2016, 123(8): 814-816

Subjects: Classical Analysis and ODEs (math.CA)

[7] arXiv:2405.02607 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On pointwise convergence of cone multipliers Show Chinese title

Title: 关于锥乘子的逐点收敛性

Peng Chen, Danqing He, Xiaochun Li, Lixin Yan

Subjects: Classical Analysis and ODEs (math.CA)

[8] arXiv:2405.02776 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Hypergeometric accelerations with shifted indices Show Chinese title

Title: 超几何加速与移位索引

John M. Campbell

Comments: Submitted for publication

Subjects: Classical Analysis and ODEs (math.CA)

[9] arXiv:2405.02902 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: A solution in terms of mock modular forms for the $q$-Painlevé equation of the type $(A_2+A_1)^{(1)}$ Show Chinese title

Title: $q$型的$(A_2+A_1)^{(1)}$皮卡勒方程的拟模形式解

Satoshi Tsuchimi

Comments: 9 pages

Subjects: Classical Analysis and ODEs (math.CA)

[10] arXiv:2405.02909 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Similar point configurations via group actions Show Chinese title

Title: 通过群作用的相似点配置

P. Bhowmik, A. Greenleaf, A. Iosevich, S. Mkrtchyan, F. Rakhmonov

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

[11] arXiv:2405.02932 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Extremizers for the Rogosinski-Szegö estimate of the second coefficient in nonnegative sine polynomials Show Chinese title

Title: 非负正弦多项式中第二系数的Rogosinski-Szegö估计的极值化器

Dmitriy Dmitrishin, Alexander Stokolos, Walter Trebels

Subjects: Classical Analysis and ODEs (math.CA)

[12] arXiv:2405.02988 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Ladder operators for generalized Zernike or disk polynomials Show Chinese title

Title: 广义Zernike或圆多项式的阶梯算子

Misael E. Marriaga

Subjects: Classical Analysis and ODEs (math.CA)

[13] arXiv:2405.03087 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Packing sets in Euclidean space by affine transformations Show Chinese title

Title: 欧几里得空间中通过仿射变换打包集合

Alex Iosevich, Pertti Mattila, Eyvindur Palsson, Minh-Quy Pham, Thang Pham, Steven Senger, Chun-Yen Shen

Comments: 27 pages

Subjects: Classical Analysis and ODEs (math.CA)

[14] arXiv:2405.03294 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On the generalized Dirichlet beta and Riemann zeta functions and Ramanujan-type formulae for beta and zeta values Show Chinese title

Title: 关于广义的狄利克雷贝塔函数和黎曼ζ函数以及拉马努金型公式用于贝塔和ζ值

Semyon Yakubovich

Subjects: Classical Analysis and ODEs (math.CA)

[15] arXiv:2405.03522 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Almost periodicity and boundary values of Dirichlet series Show Chinese title

Title: 几乎周期性与狄利克雷级数的边界值

Ole Fredrik Brevig, Athanasios Kouroupis, Karl-Mikael Perfekt

Comments: Minor changes. This paper has been accepted for publication in Transactions of the AMS

Journal-ref: Trans. Amer. Math. Soc. 378 (2025), no. 8, 5677--5700

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

[16] arXiv:2405.04220 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: A characterization of wavelet sets on Vilenkin groups with its application to construction of MRA wavelets Show Chinese title

Title: Vilenkin群上小波集的表征及其在MRA小波构造中的应用

Jun Liu, Chi Zhang

Comments: 28 pages

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

[17] arXiv:2405.05009 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On Solutions of Systems of Differential Equations on Half-Line with Summable Coefficients Show Chinese title

Title: 关于半直线上的微分方程组解的可积系数

Maria Kuznetsova

Comments: This is an extended version of the paper accepted for publication in Lobachevskii Journal of Mathematics

Subjects: Classical Analysis and ODEs (math.CA)

[18] arXiv:2405.05460 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On the compactness of the bi-commutator Show Chinese title

Title: 关于双交换子的紧性

Henri Martikainen, Tuomas Oikari

Comments: 34 pages

Subjects: Classical Analysis and ODEs (math.CA)

[19] arXiv:2405.05878 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Fourier decay of product measures Show Chinese title

Title: 傅里叶衰减的乘积测度

Jonathan M. Fraser

Comments: 17 pages, 1 figure. Error corrected, more details added, other small changes

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

[20] arXiv:2405.06273 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Comparison criteria for first order polynomial differential equations Show Chinese title

Title: 一阶多项式微分方程的比较准则

G. A. Grigorian

Subjects: Classical Analysis and ODEs (math.CA)

[21] arXiv:2405.06349 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On certain Gram matrices and their associated series Show Chinese title

Title: 关于某些Gram矩阵及其相关级数

Werner Ehm

Comments: two minor amendments

Subjects: Classical Analysis and ODEs (math.CA) ; Number Theory (math.NT)

[22] arXiv:2405.06423 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: A blueprint for the formalization of Carleson's theorem on convergence of Fourier series Show Chinese title

Title: Carleson定理关于傅里叶级数收敛性的形式化蓝图

Lars Becker, María Inés de Frutos-Fernández, Leo Diedering, Floris van Doorn, Sébastien Gouëzel, Asgar Jamneshan, Evgenia Karunus, Edward van de Meent, Pietro Monticone, Jasper Mulder-Sohn, Jim Portegies, Joris Roos, Michael Rothgang, Rajula Srivastava, James Sundstrom, Jeremy Tan, Christoph Thiele

Comments: 144 pages

Subjects: Classical Analysis and ODEs (math.CA)

[23] arXiv:2405.06809 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Spectral parameter power series representation for regular solutions of the radial Dirac system Show Chinese title

Title: 径向狄拉克系统的正则解的谱参数幂级数表示

Emmanuel Roque, Sergii M. Torba

Subjects: Classical Analysis and ODEs (math.CA) ; Mathematical Physics (math-ph) ; Numerical Analysis (math.NA)

[24] arXiv:2405.07160 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Singular Integrals associated with Reflection Groups on Euclidean Space Show Chinese title

Title: 与欧几里得空间中反射群相关的奇异积分

Yongsheng Han, Ji Li, Chaoqiang Tan, Zipeng Wang, Xinfeng Wu

Subjects: Classical Analysis and ODEs (math.CA)

[25] arXiv:2405.07737 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Symmetries and periodic orbits for the $n$-body problem: about the computational approach Show Chinese title

Title: 对$n$体问题的对称性和周期轨道：关于计算方法

D.L. Ferrario

Subjects: Classical Analysis and ODEs (math.CA)

[26] arXiv:2405.07742 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Optimal discrete Hardy-Rellich-Birman inequalities Show Chinese title

Title: 最优离散Hardy-Rellich-Birman不等式

František Štampach, Jakub Waclawek

Comments: 27 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Spectral Theory (math.SP)

[27] arXiv:2405.08208 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Error bounds for a uniform asymptotic approximation of the zeros of the Bessel function $J_ν(x)$ Show Chinese title

Title: Bessel函数零点的统一渐近逼近的误差界限$J_ν(x)$

T. M. Dunster

Subjects: Classical Analysis and ODEs (math.CA)

[28] arXiv:2405.08215 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Circles in diffraction Show Chinese title

Title: 衍射中的圆

Emily R. Korfanty, Nicolae Strungaru

Comments: 23 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Mathematical Physics (math-ph)

[29] arXiv:2405.08561 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Minimax and maximin problems for sums of translates on the real axis Show Chinese title

Title: 极小极大和极大极小问题在实轴上的平移和上

Tatiana Nikiforova

Subjects: Classical Analysis and ODEs (math.CA)

[30] arXiv:2405.08583 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On the $σ$-balancing property of multivariate generalized quasi-arithmetic means Show Chinese title

Title: 关于多元广义准算术平均的$σ$-平衡性质

Tibor Kiss, Gergő Nagy

Subjects: Classical Analysis and ODEs (math.CA)

[31] arXiv:2405.09206 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: All convex bodies are in the subdifferential of some everywhere differentiable locally Lipschitz function Show Chinese title

Title: 所有凸体都是某个处处可微的局部利普希茨函数的次微分

Aris Daniilidis (TU Wien), Robert Deville (IMB), Sebastian Tapia-Garcia (TU Wien)

Comments: Revised version

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

[32] arXiv:2405.09921 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Cyclicity in Besov-Dirichlet spaces from the Corona Theorem Show Chinese title

Title: 从Cora定理中的Besov-Dirichlet空间的循环性

Yabreb Mohamed Egueh (IMB), Karim Kellay (IMB), Mohamed Zarrabi (IMB)

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

[33] arXiv:2405.10091 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: From little BMO to product BMO through multiplication operator Show Chinese title

Title: 从小BMO通过乘法算子到乘积BMO

Benoit F. Sehba

Comments: 17 pages

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

[34] arXiv:2405.11332 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: First Order Linear Proportional Difference Equation with Integration Factor the $(s,t)$-Pantograph Function Show Chinese title

Title: 一阶线性比例差分方程与积分因子的$(s,t)$- 弹簧函数

Ronald Orozco López

Comments: 22 pages

Subjects: Classical Analysis and ODEs (math.CA)

[35] arXiv:2405.11630 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: General Christoffel Perturbations for Mixed Multiple Orthogonal Polynomials Show Chinese title

Title: 混合多重正交多项式的广义克里斯托弗尔摄动

Manuel Mañas, Miguel Rojas

Comments: 32 pages. Some minor typos corrected in the second version

Subjects: Classical Analysis and ODEs (math.CA) ; Mathematical Physics (math-ph) ; Spectral Theory (math.SP)

[36] arXiv:2405.11947 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: The extremal values of the ratio of differences of power mean, arithmetic mean, and geometric mean Show Chinese title

Title: 幂平均、算术平均和几何平均差的比值的极值

Yagub Aliyev

Journal-ref: Mediterr. J. Math. 22, 163 (2025)

Subjects: Classical Analysis and ODEs (math.CA)

[37] arXiv:2405.11959 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Orthogonality of quasi-nature spectral polynomials of Jacobi and Laguerre type Show Chinese title

Title: 雅可比和拉盖尔型拟自然谱多项式的正交性

Vikash Kumar, A. Swaminathan

Comments: 25 pages, 10 figures

Subjects: Classical Analysis and ODEs (math.CA)

[38] arXiv:2405.12032 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Another look at the Matkowski and Wesołowski problem yielding a new class of solutions Show Chinese title

Title: 对Matkowski和Wesołowski问题的再思考，得出一类新的解

Janusz Morawiec, Thomas Zürcher

Subjects: Classical Analysis and ODEs (math.CA)

[39] arXiv:2405.12251 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On the weighted hermite-hadamard inequality in multiple variables, application for weighted multivariate means Show Chinese title

Title: 关于多变量加权赫尔米特-哈达玛不等式，对加权多变量均值的应用

Mustapha Raissouli, Lahcen Tarik, Mohamed Chergui

Comments: 17 pages

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

[40] arXiv:2405.12568 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Representability of G-functions as rational functions in hypergeometric series Show Chinese title

Title: G-函数在超几何级数中的有理函数表示性

Thomas Dreyfus (IMB), Tanguy Rivoal (IF)

Subjects: Classical Analysis and ODEs (math.CA) ; Number Theory (math.NT)

[41] arXiv:2405.12887 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: Regulated functions. *-integral Show Chinese title

Title: 有界函数。 *-积分

V.Ya.Derr

Subjects: Classical Analysis and ODEs (math.CA)

[42] arXiv:2405.13174 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Local times of deterministic paths with finite variation Show Chinese title

Title: 确定路径的局部时间与有限变差

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

Subjects: Classical Analysis and ODEs (math.CA)

[43] arXiv:2405.13618 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Results on comparison and sub/super-stabilizability of some new means Show Chinese title

Title: 一些新均值的比较结果及次/超稳定性的结果

Lenka Mihoković, Mustapha Raïssouli

Comments: 19 pages

Subjects: Classical Analysis and ODEs (math.CA)

[44] arXiv:2405.14063 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On sets of orthogonal exponentials on the disk Show Chinese title

Title: 关于圆盘上的正交指数集

Dmitrii Zakharov

Comments: 6 pages, improved presentation

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

[45] arXiv:2405.14771 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Dunkl symmetric coherent pairs of measures. An application to Fourier Dunkl-Sobolev expansions Show Chinese title

Title: Dunkl对称相干对的测度。 Dunkl-Sobolev展开在傅里叶中的应用

Mabrouk Sghaier, Francisco Marcellán

Subjects: Classical Analysis and ODEs (math.CA)

[46] arXiv:2405.14901 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: On some Analytic Inequalities for Gauss Hypergeometric Functions via Gruss Discrete Inequality Show Chinese title

Title: 关于通过Gruss离散不等式对高斯超几何函数的一些解析不等式的分析

Mustapha Raissouli, Mohamed Chergui

Comments: 10 pages

Subjects: Classical Analysis and ODEs (math.CA)

[47] arXiv:2405.15043 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: On Bivariate Jacobi Konhauser Polynomials Show Chinese title

Title: 关于二元雅可比Konhauser多项式

Mehmet Ali Özarslan, İlkay Onbaşı Elidemir

Comments: Eastern mediterranean university. arXiv admin note: subtantial text overlap with arXiv:2404.00035

Subjects: Classical Analysis and ODEs (math.CA)

[48] arXiv:2405.15400 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Two-point polynomial patterns in subsets of positive density in $\mathbb{R}^n$ Show Chinese title

Title: 正密度子集中的两点多项式模式 in $\mathbb{R}^n$

Xuezhi Chen, Changxing Miao

Comments: 18 pages; we added the definition of the operator $T_{s,l}$ appearing in Lemma 2.2

Journal-ref: Int. Math. Res. Not., 2024:10865-10879(2024)

Subjects: Classical Analysis and ODEs (math.CA) ; Number Theory (math.NT)

[49] arXiv:2405.16647 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Sharp extension inequalities on finite fields Show Chinese title

Title: 有限域上的尖锐扩展不等式

Cristian González-Riquelme, Diogo Oliveira e Silva

Comments: 34 pages; v2: typos corrected, references added

Subjects: Classical Analysis and ODEs (math.CA) ; Number Theory (math.NT)

[50] arXiv:2405.16855 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Maximal operators given by Fourier multipliers with dilation of fractional dimensions Show Chinese title

Title: 由分数维缩放的傅里叶乘子给出的最大算子

Jin Bong Lee, Jinsol Seo

Comments: 15 pages

Subjects: Classical Analysis and ODEs (math.CA)