Classical Analysis and ODEs

Authors and titles for math.CA in Mar 2024

[1]  arXiv:2403.00130 [pdf, ps, other]

Title: On the signature of an image

Authors: Joscha Diehl, Kurusch Ebrahimi-Fard, Fabian Harang, Samy Tindel

Comments: 33 pages, comments welcome!

Subjects: Classical Analysis and ODEs (math.CA); Analysis of PDEs (math.AP); Probability (math.PR); Statistics Theory (math.ST)

[2]  arXiv:2403.00173 [pdf, other]

Title: Kernel Smoothing Operators on Thick Open Domains

Authors: Dimitrios Giannakis, Mohammad Javad Latifi Jebelli

Comments: 28 pages, 5 figures

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

[3]  arXiv:2403.00341 [pdf, ps, other]

Title: Theory on linear L-fractional differential equations and a new Mittag-Leffler-type function

Authors: Marc Jornet

Comments: 51 pages

Subjects: Classical Analysis and ODEs (math.CA)

[4]  arXiv:2403.00395 [pdf, ps, other]

Title: Generalized Carleson Embeddings of M{ü}ntz Spaces

Authors: Mickaël Latocca (LaMME), Vincent Munnier

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

[5]  arXiv:2403.00677 [pdf, ps, other]

Title: Haar wavelet characterization of dyadic Lipschitz regularity

Authors: Hugo Aimar, Carlos Exequiel Arias, Ivana Gómez

Comments: 6 pages. This manuscript has been accepted for publication in the Revista de la Uni\'{o}n Matem\'{a}tica Argentina

Subjects: Classical Analysis and ODEs (math.CA)

[6]  arXiv:2403.00719 [pdf, other]

Title: The Pólya-Tchebotarev problem with semiclassical external fields

Authors: Victor Alves, Guilherme Silva

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

[7]  arXiv:2403.01358 [pdf, ps, other]

Title: On odd-normal numbers

Authors: Malabika Pramanik, Junqiang Zhang

Comments: 36 pages

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

[8]  arXiv:2403.01940 [pdf, ps, other]

Title: Bounding Taylor approximation errors for the exponential function in the presence of a power weight function

Authors: A.J.E.M. Janssen

Subjects: Classical Analysis and ODEs (math.CA)

[9]  arXiv:2403.02007 [pdf, other]

Title: An asymptotic expansion of eigenpolynomials for a class of linear differential operators

Authors: Jorge A. Borrego-Morell

Journal-ref: Stud. Appl. Math, vol.~151, no.~3, pp.~923--956, 2023

Subjects: Classical Analysis and ODEs (math.CA)

[10]  arXiv:2403.02196 [pdf, other]

Title: Exponentially-improved asymptotics for $q$-difference equations: ${}_2φ_0$ and $q{\rm P}_{\rm I}$

Authors: Nalini Joshi, Adri Olde Daalhuis

Comments: 15 pages, 1 figure

Subjects: Classical Analysis and ODEs (math.CA)

[11]  arXiv:2403.02662 [pdf, ps, other]

Title: Solutions to q-hypergeometric equations associated with q-middle convolution

Authors: Yumi Arai

Comments: 28 pages

Subjects: Classical Analysis and ODEs (math.CA)

[12]  arXiv:2403.02858 [pdf, ps, other]

Title: Metrically differentiable set-valued functions and their local linear approximants

Authors: Alona Mokhov, Nira Dyn, Elza Farkhi

Subjects: Classical Analysis and ODEs (math.CA)

[13]  arXiv:2403.02964 [pdf, other]

Title: Balayage of measures: behavior near a corner

Authors: Christophe Charlier, Jonatan Lenells

Comments: 12 pages, 4 figures

Subjects: Classical Analysis and ODEs (math.CA)

[14]  arXiv:2403.03135 [pdf, ps, other]

Title: Semialgebraic Calderon-Zygmund theorem on regularization of the distance function

Authors: Beata Kocel-Cynk, Wiesław Pawłucki, Anna Valette

Comments: Final version

Journal-ref: Mathematische Annalen (2024)

Subjects: Classical Analysis and ODEs (math.CA); Algebraic Geometry (math.AG)

[15]  arXiv:2403.03572 [pdf, ps, other]

Title: Hyperuniform point sets on projective spaces

Authors: Johann S. Brauchart, Peter J. Grabner

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

[16]  arXiv:2403.03789 [pdf, other]

Title: Recovering orthogonality from quasi-nature of Spectral transformations

Authors: Vikash Kumar, Francisco Marcellán, A. Swaminathan

Comments: 26 pages, 6 figures

Subjects: Classical Analysis and ODEs (math.CA)

[17]  arXiv:2403.03873 [pdf, ps, other]

Title: The algebra $\mathcal{D}(W)$ via strong Darboux transformations

Authors: Ignacio Bono Parisi, Inés Pacharoni

Comments: 23 pages. arXiv admin note: text overlap with arXiv:2311.16325

Subjects: Classical Analysis and ODEs (math.CA); Rings and Algebras (math.RA)

[18]  arXiv:2403.04469 [pdf, ps, other]

Title: Characterization of Besov spaces with dominating mixed smoothness by differences

Authors: Paul Nikolaev, David J. Prömel, Mathias Trabs

Comments: 33 pages

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

[19]  arXiv:2403.04548 [pdf, other]

Title: An Introduction to T-Systems -- with a special Emphasis on Sparse Moment Problems, Sparse Positivstellensätze, and Sparse Nichtnegativstellensätze

Authors: Philipp J. di Dio

Comments: These are the lecture notes for the (upcoming) lecture "T-systems with a special emphasis on sparse moment problems and sparse Positivstellens\"atze" in the summer semester 2024 at the University of Konstanz

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

[20]  arXiv:2403.04658 [pdf, ps, other]

Title: Natural geometric Fourier transforms and the associated fractional Laplacian

Authors: Razvan M. Tudoran

Comments: 32 pages

Subjects: Classical Analysis and ODEs (math.CA)

[21]  arXiv:2403.04721 [pdf, other]

Title: A sharp Hörmander condition for bilinear Fourier multipliers with Lipschitz singularities

Authors: Jiao Chen, Martin Hsu, Fred Yu-Hsiang Lin

Subjects: Classical Analysis and ODEs (math.CA)

[22]  arXiv:2403.04944 [pdf, ps, other]

Title: The area of Hügelschäffer curves via Taylor series

Authors: Maja Petrovic, Branko Malesevic

Comments: 16 pages, 3 figures

Subjects: Classical Analysis and ODEs (math.CA); Algebraic Geometry (math.AG)

[23]  arXiv:2403.05017 [pdf, ps, other]

Title: A weighted decoupling inequality and its application to the maximal Bochner-Riesz problem

Authors: Shengwen Gan, Shukun Wu

Subjects: Classical Analysis and ODEs (math.CA)

[24]  arXiv:2403.05708 [pdf, other]

Title: Extending the Meijer $G$-function

Authors: Dmitrii Karp, Alexey Kuznetsov

Comments: 27 pages, 2 figures

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

[25]  arXiv:2403.05840 [pdf, ps, other]

Title: Composition of rough singular integral operators on rearrangement invariant Banach type spaces

Authors: Jiawei Tan, Qingying Xue

Comments: 21 pages

Subjects: Classical Analysis and ODEs (math.CA)

[26]  arXiv:2403.06395 [pdf, ps, other]

Title: A Linear Algebra approach to monomiality and operational methods

Authors: Luis Verde-Star

Comments: 28 pages

Subjects: Classical Analysis and ODEs (math.CA)

[27]  arXiv:2403.06751 [pdf, other]

Title: Sharp restricted weak-type estimates for sparse operators

Authors: Irina Holmes Fay, Guillermo Rey, Kristina Ana Škreb

Subjects: Classical Analysis and ODEs (math.CA)

[28]  arXiv:2403.07298 [pdf, ps, other]

Title: Multiple elliptic integrals and differential equations

Authors: John M. Campbell, M. Lawrence Glasser, Yajun Zhou

Comments: 8 pages

Subjects: Classical Analysis and ODEs (math.CA)

[29]  arXiv:2403.07411 [pdf, ps, other]

Title: Cube tilings with linear constraints

Authors: Dae Gwan Lee, Goetz E. Pfander, David Walnut

Subjects: Classical Analysis and ODEs (math.CA)

[30]  arXiv:2403.07600 [pdf, ps, other]

Title: Asymptotic $ψ$-densities of subsets of natural numbers

Authors: Janne Heittokangas, Zinelaabidine Latreuch

Comments: 27 pages

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

[31]  arXiv:2403.08338 [pdf, ps, other]

Title: Curved commutators in the plane

Authors: Kangwei Li, Henri Martikainen, Tuomas Oikari

Comments: 27 pages

Subjects: Classical Analysis and ODEs (math.CA)

[32]  arXiv:2403.09729 [pdf, ps, other]

Title: Proof and generalization of conjectures of Ramanujan Machine

Authors: Shuma Yamamoto

Subjects: Classical Analysis and ODEs (math.CA)

[33]  arXiv:2403.09821 [pdf, ps, other]

Title: Discrete Besov spaces via semigroups associated to the discrete Laplacian and regularity of non-local operators

Authors: Luciano Abadias, Marta De León-Contreras, Alejandro Mahillo

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

[34]  arXiv:2403.10584 [pdf, ps, other]

Title: The apolar inner product and a Bombieri type inequality for polynomials

Authors: J. M. Aldaz, A. Bravo, H. Render

Comments: 9 pp

Subjects: Classical Analysis and ODEs (math.CA)

[35]  arXiv:2403.11042 [pdf, ps, other]

Title: Schatten Properties of Calderón--Zygmund Singular Integral Commutator on stratified Lie groups

Authors: Ji Li, Xiao Xiong, Fulin Yang

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

[36]  arXiv:2403.11467 [pdf, ps, other]

Title: Convolution operators and variable Hardy spaces on the Heisenberg group

Authors: Pablo Rocha

Comments: 23 pages

Subjects: Classical Analysis and ODEs (math.CA)

[37]  arXiv:2403.11526 [pdf, other]

Title: On the continuum limit of the Follow-the-Leader model and its stability

Authors: Fabio Ancona, Mohamed Bentaibi, Francesco Rossi

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

[38]  arXiv:2403.11733 [pdf, ps, other]

Title: An HK$_r$-integrable function which is P$_s$-integrable for no $s$

Authors: Piotr Sworowski

Subjects: Classical Analysis and ODEs (math.CA)

[39]  arXiv:2403.12513 [pdf, ps, other]

Title: Classifying Triebel-Lizorkin capacities in metric spaces

Authors: Juha Lehrbäck, Kaushik Mohanta, Antti V. Vähäkangas

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

[40]  arXiv:2403.12603 [pdf, ps, other]

Title: Obtaining the Fourier spectrum via Fourier coefficients

Authors: Marc Carnovale, Jonathan M. Fraser, Ana E. de Orellana

Comments: 13 pages

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

[41]  arXiv:2403.12751 [pdf, ps, other]

Title: Oscillatory integrals and weighted gradient flows

Authors: Michael Greenblatt

Comments: 17 pages

Subjects: Classical Analysis and ODEs (math.CA)

[42]  arXiv:2403.12843 [pdf, ps, other]

Title: On the positivity of Fourier transform of the stretched Gaußian function

Authors: Hanwen Liu

Comments: 4 pages, 0 figure

Subjects: Classical Analysis and ODEs (math.CA)

[43]  arXiv:2403.12867 [pdf, ps, other]

Title: Balls minimize moments of logarithmic and Newtonian equilibrium measures

Authors: Carrie Clark, Richard S. Laugesen

Subjects: Classical Analysis and ODEs (math.CA)

[44]  arXiv:2403.13092 [pdf, ps, other]

Title: On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions, II

Authors: Kevin Hughes, Arie Israel, Azita Mayeli

Comments: 18 pages

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

[45]  arXiv:2403.13149 [pdf, ps, other]

Title: Bernstein-Nikolskii Inequality: Optimality with Respect to the Smoothness Parameter

Authors: Michael I Ganzburg, Miquel Saucedo, Sergey Tikhonov

Comments: 22 pages

Subjects: Classical Analysis and ODEs (math.CA)

[46]  arXiv:2403.14901 [pdf, ps, other]

Title: Functions on a convex set which are both $ ω$-semiconvex and $ ω$-semiconcave II

Authors: Václav Kryštof

Subjects: Classical Analysis and ODEs (math.CA)

[47]  arXiv:2403.14942 [pdf, ps, other]

Title: Asymptotics of the Humbert function $Ψ_1$ for two large arguments

Authors: Peng-Cheng Hang, Min-Jie Luo

Subjects: Classical Analysis and ODEs (math.CA)

[48]  arXiv:2403.15232 [pdf, ps, other]

Title: $L^p$-boundedness properties for some harmonic analysis operators defined by resolvents for a Laplacian with drift in Euclidean spaces

Authors: Jorge J. Betancor, Juan C. Fariña, Lourdes Rodríguez-Mesa

Subjects: Classical Analysis and ODEs (math.CA)

[49]  arXiv:2403.15758 [pdf, ps, other]

Title: An endpoint estimate for the maximal Calderón commutator with rough kernel

Authors: Guoen Hu, Xudong Lai, Xiangxing Tao, Qingying Xue

Comments: 25 pages

Subjects: Classical Analysis and ODEs (math.CA)

[50]  arXiv:2403.15784 [pdf, ps, other]

Title: Orthogonal projection, dual Furstenberg problem, and discretized sum-product

Authors: Longhui Li, Bochen Liu

Comments: 19 pages

Subjects: Classical Analysis and ODEs (math.CA)