Complex Variables

Authors and titles for math.CV in Feb 2024

[1]  arXiv:2402.00656 [pdf, ps, other]

Title: On universality of general Dirichlet series

Authors: Frédéric Bayart, Athanasios Kouroupis

Subjects: Complex Variables (math.CV); Number Theory (math.NT)

[2]  arXiv:2402.01291 [pdf, ps, other]

Title: On quasiconformal dimension distortion for subsets of the real line

Authors: Petteri Nissinen, István Prause

Comments: 17 pages

Subjects: Complex Variables (math.CV)

[3]  arXiv:2402.01997 [pdf, ps, other]

Title: Integral formulas for slice Cauchy-Riemann operator and applications

Authors: Chao Ding, Xiaoqian Cheng

Comments: 16 pages

Subjects: Complex Variables (math.CV)

[4]  arXiv:2402.03098 [pdf, ps, other]

Title: The Eigenvalue Problem for the Complex Hessian Operator on $m$-Pseudoconvex Manifolds

Authors: Jianchun Chu, Yaxiong Liu, Nicholas McCleerey

Subjects: Complex Variables (math.CV); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[5]  arXiv:2402.03152 [pdf, ps, other]

Title: Rational Maps of Balls and their Associated Groups

Authors: Dusty Grundmeier, Jiří Lebl

Comments: 11 pages. Fixed typos

Subjects: Complex Variables (math.CV)

[6]  arXiv:2402.03248 [pdf, ps, other]

Title: On a question of Gary G. Gundersen concerning meromorphic functions sharing three distinct values IM and a fourth value CM

Authors: Xiao-Min Li, Qing-Fei Zhai, Hong-Xun Yi

Comments: The total pages of the present paper is 39. Neither figures nor conferences are related to this present paper

Subjects: Complex Variables (math.CV)

[7]  arXiv:2402.05017 [pdf, other]

Title: An analog of multiplier sequences for the set of totally positive sequences

Authors: Olga Katkova, Anna Vishnyakova

Subjects: Complex Variables (math.CV)

[8]  arXiv:2402.05047 [pdf, ps, other]

Title: On the log-hyperconvexity index of pseudoconvex H$\ddot{o}$lder domains in $\mathbb{C}^n$

Authors: Tianlong Yu

Subjects: Complex Variables (math.CV)

[9]  arXiv:2402.05556 [pdf, ps, other]

Title: Slice regular holomorphic Cliffordian functions of order $k$

Authors: Giulio Binosi

Comments: 10 pages

Subjects: Complex Variables (math.CV)

[10]  arXiv:2402.05670 [pdf, ps, other]

Title: New Properties of Holomorphic Sobolev-Hardy Spaces

Authors: William Gryc, Loredana Lanzani, Jue Xiong, Yuan Zhang

Comments: 18 pages

Subjects: Complex Variables (math.CV)

[11]  arXiv:2402.06381 [pdf, ps, other]

Title: A numerical algorithm for matrix spectral factorization on the real line

Authors: Lasha Ephremidze

Comments: 8 pages

Subjects: Complex Variables (math.CV)

[12]  arXiv:2402.06747 [pdf, ps, other]

Title: Boundary value problems for holomorphic functions on Lipschitz planar domains

Authors: William Gryc, Loredana Lanzani, Jue Xiong, Yuan Zhang

Comments: 30 pages

Subjects: Complex Variables (math.CV)

[13]  arXiv:2402.06774 [pdf, ps, other]

Title: Some integral operators acting on $H^{\infty}$

Authors: Austin Anderson, Mirjana Jovovic, Wayne Smith

Journal-ref: Integral Equations and Operator Theory 80 (2014), 275-291

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

[14]  arXiv:2402.06883 [pdf, ps, other]

Title: Nakano positivity of singular Hermitian metrics: Approximations and applications

Authors: Takahiro Inayama, Shin-ichi Matsumura

Comments: 18 pages; comments are welcome

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

[15]  arXiv:2402.07050 [pdf, ps, other]

Title: On holomorphic tubular neighborhoods of compact Riemann surfaces

Authors: Satoshi Ogawa

Comments: 15 pages

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

[16]  arXiv:2402.07077 [pdf, ps, other]

Title: Smooth plurisubharmonic exhaustion functions on pseudo-convex domains in infinite dimensions

Authors: Zhouzhe Wang, Xu Zhang

Comments: 32 pages

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

[17]  arXiv:2402.07126 [pdf, ps, other]

Title: Hermitian Rank and Rigidity of Holomorphic Mappings

Authors: Yun Gao

Subjects: Complex Variables (math.CV)

[18]  arXiv:2402.07292 [pdf, other]

Title: Walsh's Conformal Map onto Lemniscatic Domains for Several Intervals

Authors: Klaus Schiefermayr, Olivier Sète

Subjects: Complex Variables (math.CV)

[19]  arXiv:2402.07457 [pdf, other]

Title: A Note on Kernel Functions of Dirichlet Spaces

Authors: Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar

Comments: 9 pages. Comments are welcome

Subjects: Complex Variables (math.CV)

[20]  arXiv:2402.07524 [pdf, ps, other]

Title: Semialgebraicity of the convergence domain of an algebraic power series

Authors: Tobias Kaiser

Comments: Updated version

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

[21]  arXiv:2402.08477 [pdf, ps, other]

Title: Closures of Harmonic Bergman Besov Spaces in the Weighted Harmonic Bloch Spaces on the Unit Ball

Authors: Ömer Faruk Doğan

Subjects: Complex Variables (math.CV)

[22]  arXiv:2402.08487 [pdf, ps, other]

Title: On the notion of a quaternionic holomorphic function

Authors: Michael Parfenov

Comments: 16 pages

Subjects: Complex Variables (math.CV)

[23]  arXiv:2402.09235 [pdf, ps, other]

Title: Some Characterizations of Weakly Uniformly Perfect Sets

Authors: Zhiyuan Zheng

Subjects: Complex Variables (math.CV)

[24]  arXiv:2402.09292 [pdf, other]

Title: New proof of the Gaussian integral using the residue theorem with links to the Riemann Zeta function

Authors: Bastien Jean Quemener

Subjects: Complex Variables (math.CV)

[25]  arXiv:2402.09798 [pdf, ps, other]

Title: Oka-1 manifolds: New examples and properties

Authors: Franc Forstneric, Finnur Larusson

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