Search Results - "Complex Variables"

Explicit solutions in isotropic planar elastostatics

Authors: Granath, Andreas Åhag, Per Perälä, Antti et al.

Source: Acta Mathematica Vietnamica. 50(2):285-301

Subject Terms: Cardioid, Complex variables, Conformal mapping, Eccentric annulus, Epitrochoid, Isotropic planar elastostatics, Notch problem, Plane elasticity

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-240990
https://doi.org/10.1007/s40306-025-00572-w

Jointly cyclic polynomials and maximal domains.

Authors: Mironov, Mikhail Sampat, Jeet

Source: Proceedings of the American Mathematical Society. Nov2025, Vol. 153 Issue 11, p4781-4795. 15p.

Subject Terms: *HOLOMORPHIC functions, *COMPLEX variables, *HILBERT space, *FUNCTIONAL analysis, *TOPOLOGICAL spaces, *VECTOR topology, *POLYNOMIALS

A Laguerre series methodology for the inversion of Laplace transforms.

Authors: Schröder, Michael¹ (AUTHOR) maths.mhgsch@gmail.com

Source: Integral Transforms & Special Functions. Oct2025, Vol. 36 Issue 10, p846-882. 37p.

Subject Terms: *COMPLEX variables, *APPROXIMATION error, *FUNCTIONALS, *THRUST, *DEFINITIONS

A strong version of the Hilbert Nullstellensatz for slice regular polynomials in several quaternionic variables

Authors: Anna Gori Giulia Sarfatti Fabio Vlacci et al.

Contributors: Anna Gori Giulia Sarfatti Fabio Vlacci et al.

Source: Journal of Algebra. 687:269-291

Subject Terms: Complex Variables, Nullstellensatzquaternionic slice regular polynomialsalgebraic sets, 30G35, 16S36, 15A54, FOS: Mathematics, Complex Variables (math.CV), Algebraic Geometry, Algebraic Geometry (math.AG), Nullstellensatz, quaternionic slice regular polynomials, algebraic sets

File Description: ELETTRONICO; application/pdf

Access URL: http://arxiv.org/abs/2402.16784
https://hdl.handle.net/11368/3117221
https://www.sciencedirect.com/science/article/pii/S0021869325005253

NOTE ON REAL AND IMAGINARY PARTS OF HARMONIC QUASIREGULAR MAPPINGS

Authors: SUMAN DAS ANTTI RASILA

Source: Canadian Mathematical Bulletin. :1-10

Subject Terms: Complex Variables, 31A05, 30H10, 30C62, FOS: Mathematics, Complex Variables (math.CV)

Access URL: http://arxiv.org/abs/2506.04618

An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra

Authors: Plaksa, S. A. Shpakivskyi, V. S. Tkachuk, M. V.

Source: Matematychni Studii. 64:32-41

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Complex Variables, FOS: Mathematics, 13-11, Complex Variables (math.CV), Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2502.08809

L 2 -extension indices, sharper estimates and curvature positivity

Authors: Inayama, Takahiro

Source: Annales de l'Institut Fourier. :1-29

Subject Terms: Mathematics - Complex Variables, FOS: Mathematics, 32A36, 32U05, 0101 mathematics, Complex Variables (math.CV), 01 natural sciences

Access URL: http://arxiv.org/abs/2210.08456

An atomic representation for bicomplex Hardy classes

Authors: William L. Blair

Source: Complex Variables and Elliptic Equations. :1-38

Subject Terms: Complex Variables, Classical Analysis and ODEs, Analysis of PDEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV), Functional Analysis, Analysis of PDEs (math.AP), Functional Analysis (math.FA)

Access URL: http://arxiv.org/abs/2501.00542

Holomorphic bundles framed along a real hypersurface and the Riemann–Hilbert problem

Authors: Teleman, Andrei

Source: Annales de la Faculté des sciences de Toulouse : Mathématiques. 34:581-656

Subject Terms: Complex Variables, Differential Geometry (math.DG), FOS: Mathematics, 32L05, 32G13, 35Q15, Complex Variables (math.CV), Differential Geometry

Access URL: http://arxiv.org/abs/2310.04341

Whitney approximation: domains and bounds

Authors: Aschenbrenner, Matthias

Source: Complex Variables and Elliptic Equations. :1-28

Subject Terms: Complex Variables, Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV)

Access URL: http://arxiv.org/abs/2504.12839

Constrained maximization of conformal capacity

Authors: Harri Hakula Mohamed M.S. Nasser Matti Vuorinen et al.

Contributors: Harri Hakula Mohamed M.S. Nasser Matti Vuorinen et al.

Source: Computers & Mathematics with Applications. 193:132-156

Subject Terms: 65E05, 31A15, 30C85, Mathematics - Complex Variables, Conformal capacity, FOS: Mathematics, Condenser, Hyperbolic geometry, Complex Variables (math.CV), hp-FEM, Boundary integral equation method, Dirichlet problem

File Description: application/pdf

Access URL: http://arxiv.org/abs/2404.19663
https://aaltodoc.aalto.fi/handle/123456789/137513

The Parabolic Quaternionic Monge-Ampère Type Equation on HyperKähler Manifolds

Authors: Fu, Jixiang Xu, Xin Zhang, Dekai

Source: Chinese Annals of Mathematics, Series B. 46:647-662

Subject Terms: Mathematics - Differential Geometry, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2310.09225

On iterates of rational functions with maximal number of critical values

Authors: Pakovich, Fedor

Source: Journal d'Analyse Mathématique. 156:213-251

Subject Terms: Mathematics - Complex Variables, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, Complex Variables (math.CV), 01 natural sciences

Access URL: http://arxiv.org/abs/2107.05963

On the location of ratios of zeros of special trinomials

Authors: Bamunoba, Alex Samuel Ndikubwayo, Innocent

Source: Quaestiones Mathematicae. :1-24

Subject Terms: Mathematics - Complex Variables, FOS: Mathematics, 0101 mathematics, Complex Variables (math.CV), 01 natural sciences, Primary 12D10, Secondary 26C10, 30C15

Access URL: http://arxiv.org/abs/2210.06403

Hénon maps with biholomorphic Kato surfaces

Authors: Bacher, François

Source: Communications of the American Mathematical Society. 5:457-474

Subject Terms: Mathematics - Complex Variables, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Complex Variables (math.CV), 32A08, 32J15, 37F80

Access URL: http://arxiv.org/abs/2410.19547

Continuity of solutions to complex Monge–Ampère equations on compact Kähler spaces

Authors: Ye-Won Luke Cho Young-Jun Choi

Source: Mathematische Annalen. 393:807-830

Subject Terms: Complex Variables, 14J17, 32Q20, 32U20, 32W20, Differential Geometry (math.DG), FOS: Mathematics, Complex Variables (math.CV), Algebraic Geometry, Algebraic Geometry (math.AG), Differential Geometry

Access URL: http://arxiv.org/abs/2401.03935

Defect relation of n + 1 components through the GCD method

Authors: Ru, Min Wang, Julie Tzu-Yueh

Source: Pacific Journal of Mathematics. 338:349-371

Subject Terms: Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Primary 30D35, Secondary 32Q45 and 32H30

Access URL: http://arxiv.org/abs/2410.19391

The Equivalence of Pseudodifferential Operators and Their Symbols via Čech–Dolbeault Cohomology

Authors: Komori, Daichi

Source: Publications of the Research Institute for Mathematical Sciences. 61:335-390

Subject Terms: Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), 32A38, 32A45, 32C38, 35A27, 58J15

Access URL: http://arxiv.org/abs/2201.02931

MODULI SPACES OF SLOPE-SEMISTABLE SHEAVES WITH REFLEXIVE SESHADRI GRADUATIONS

Authors: MIHAI PAVEL MATEI TOMA

Source: Nagoya Mathematical Journal. :1-19

Subject Terms: Complex Variables, 14D20, 32G13, FOS: Mathematics, Complex Variables (math.CV), Algebraic Geometry, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2407.06819

Generalized theta functions, projectively flat vector bundles and noncommutative tori

Authors: Maximiliano Sandoval Mauro Spera

Source: Portugaliae Mathematica. 82:205-226

Subject Terms: Hermitian–Einstein vector bundles, generalized theta functions, Heisenberg groups, Fourier–Mukai transform, noncommutative tori, Quantum Algebra, Complex Variables, 14 K 05, 32 L 05, 14 F 06, 58 B 34, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, Complex Variables (math.CV), 01 natural sciences

Access URL: http://arxiv.org/abs/2205.11235
https://hdl.handle.net/10807/320998
https://doi.org/10.4171/pm/2151