Complex Variables

Authors and titles for recent submissions

• Tue, 26 Nov 2024
• Mon, 25 Nov 2024
• Fri, 22 Nov 2024
• Thu, 21 Nov 2024
• Wed, 20 Nov 2024

See today's new changes

Tue, 26 Nov 2024 (continued, showing last 5 of 8 entries )

[4] arXiv:2411.15744 [pdf, html, other]

Title: On the holomorphic convexity of nilpotent coverings over compact K\"ahler surfaces

Yuan Liu

Comments: Comments are welcome!

Subjects: Complex Variables (math.CV); Group Theory (math.GR)

[5] arXiv:2411.15670 [pdf, html, other]

Title: Skoda's $L^2$ division theorem for $L^2$-optimal pairs

Zhuo Liu, Xujun Zhang

Subjects: Complex Variables (math.CV)

[6] arXiv:2411.16268 (cross-list from math.DG) [pdf, html, other]

Title: The Mittag-Leffler theorem for proper minimal surfaces and directed meromorphic curves

Antonio Alarcon, Tjasa Vrhovnik

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[7] arXiv:2411.16178 (cross-list from math.DS) [pdf, html, other]

Title: Julia sets and bifurcation loci

Thomas Gauthier, Gabriel Vigny

Comments: 18 pages, comments welcome!

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[8] arXiv:2411.16010 (cross-list from math.FA) [pdf, html, other]

Title: Uniform stability of concentration inequalities and applications

Jaime Gómez, David Kalaj, Petar Melentijević, João P. G. Ramos

Comments: 43 pages

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

Mon, 25 Nov 2024 (showing 2 of 2 entries )

[9] arXiv:2411.14843 [pdf, html, other]

Title: Meromorphic Optimal domain of Integral Operators

Carlo Bellavita, Anil Belli, Georgios Nikolaidis, Georgios Stylogiannis

Subjects: Complex Variables (math.CV); Functional Analysis (math.FA)

[10] arXiv:2411.14455 (cross-list from math.FA) [pdf, html, other]

Title: Herglotz representation for operator-valued function on a set associated with test functions

Mainak Bhowmik, Poornendu Kumar

Comments: To appear in Proc. Amer. Math. Soc. arXiv admin note: text overlap with arXiv:2311.15568

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)

Fri, 22 Nov 2024 (showing 3 of 3 entries )

[11] arXiv:2411.14175 [pdf, html, other]

Title: Chebyshev polynomials in the complex plane and on the real line

Olof Rubin

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

[12] arXiv:2411.14203 (cross-list from math.DS) [pdf, html, other]

Title: Piecewise quasiconformal dynamical systems of the unit circle

Yusheng Luo, Dimitrios Ntalampekos

Comments: 38 pages, 9 figures

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[13] arXiv:2411.14124 (cross-list from math.SP) [pdf, html, other]

Title: Quadrature domains packing

Bjorn Gustafsson, Mihai Putinar

Subjects: Spectral Theory (math.SP); Complex Variables (math.CV)

Thu, 21 Nov 2024 (showing 5 of 5 entries )

[14] arXiv:2411.13246 [pdf, html, other]

Title: Le tissu dual d'un pr\'e-feuilletage convexe r\'eduit sur $\mathbb{P}^{2}_{\mathbb{C}}$ est plat

Samir Bedrouni

Comments: 14 pages, in French language

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[15] arXiv:2411.13102 [pdf, html, other]

Title: Improvements of certain results of the class $\mathcal{S}$ of univalent functions

Milutin Obradović, Nikola Tuneski

Subjects: Complex Variables (math.CV)

[16] arXiv:2411.12932 [pdf, html, other]

Title: On the Laplace transform

Alexander G. Ramm

Subjects: Complex Variables (math.CV)

[17] arXiv:2411.12861 [pdf, html, other]

Title: Indices and residues: from Poincar\'e-Hopf to Baum-Bott, and Marco Brunella

Maurício Corrêa, José Seade

Comments: 42 pages;In memory of Marco Brunella

Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Differential Geometry (math.DG)

[18] arXiv:2411.12856 (cross-list from math.DS) [pdf, html, other]

Title: Independence of multipliers in several variables complex dynamics

Igors Gorbovickis, Johan Taflin

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

Wed, 20 Nov 2024 (showing 5 of 5 entries )

[19] arXiv:2411.12378 [pdf, html, other]

Title: An improvement of the estimates of the modulus of the Hankel determinants of second and third order for the class $\mathcal{S}$ of univalent functions

Milutin Obradović, Nikola Tuneski

Subjects: Complex Variables (math.CV)

[20] arXiv:2411.11975 [pdf, html, other]

Title: Examples in Discrete Iteration of Arbitrary Intervals of Slopes

Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis Rodríguez-Piazza

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[21] arXiv:2411.12337 (cross-list from math.AG) [pdf, other]

Title: Nevanlinna Second Main Theorem and tautological inequality for parabolic manifolds

Clara Derand (IECL, CRAN)

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[22] arXiv:2411.12171 (cross-list from math.DG) [pdf, html, other]

Title: Dimension estimate and existence of holomorphic sections with polynomial growth on gradient K\"ahler Ricci shrinkers

Fei He, Jianyu Ou

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[23] arXiv:2411.12012 (cross-list from math.DG) [pdf, html, other]

Title: Liouville theorems for harmonic metrics on gradient Ricci solitons

Chenghong He, Di Wu, Xi Zhang

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)