Latest Articles for Complex Analysis

Examining the interplay of shapes through tiling, networks, and mathematical maps.

A look into harmonic functions and their significance in various fields.

A look at smoothness and bounded point derivations in complex analysis.

Exploring black holes through the lens of thermodynamics and complex analysis.

Understanding how complex domains can reshape into simpler forms.

Unraveling the significance of the Riemann zeta function in number theory.

A look into complex manifolds and their significant properties.

Exploring the dynamics of composition operators and their connection to inner functions.

An overview of the structure and significance of non-degenerate CR manifolds in geometry.

Exploring the connections between rational curves and complex surfaces.

Exploring the significance of characteristic polynomials in random matrix theory and number theory.

A deep dive into Riesz projection and its effects on harmonic functions.

This article explains universal covering maps and their boundary behaviors in mathematics.

A guide to the Levi equation and its geometric applications.

An overview of elliptic curves and their applications in various fields.

A focused study on constants in Paley-Wiener spaces through optimization.

A look into soliton gas solutions and their impact on nonlinear waves.

A look into Brennan's conjecture and its implications in mathematics.

An overview of Bohr's inequality and its implications in complex analysis.

A look into Dirichlet spaces and the role of cyclic functions.

A look into radial operators and their role in function spaces.

Explore the fascinating world of higher Teichmüller spaces and their intricate structures.

A look into the properties and behaviors of entire functions in mathematics.

A simple look into how real and complex maps interact.

A look into Brown measure and the behavior of non-normal operators.

Examining the interaction of quadrature domains and their non-overlapping nature.

Explore the complex relationship between surfaces, coverings, and holomorphic convexity.

Explore how surfaces change and connect in complex analysis.

A deep dive into interpolating sequences and their significance in complex analysis.

Discover the role of interpolation in function spaces and its practical applications.

Dive into the fascinating world of the p-adic number system and its applications.

Explore the fascinating dynamics of entire functions and their surprising behaviors.

Uncover the unique properties and applications of univalent functions in mathematics.