Latest Articles for Analysis

Exploring the connection between geometry and probability through geodesic random walks.

A deep dive into the implications of Gromov and Sormani's conjecture.

An overview of power series and their relevance in mathematics.

Dive into the world of generalized Bernoulli polynomials and their significance.

Exploring the role of maximal functions in understanding curves and geometric properties.

This article examines the Riemann-Hilbert problem and its implications for Painlevé equations.

Explore the key concepts and importance of choice principles in mathematical theory.

Discover the significance of Fourier analysis in understanding geometric measures and structures.

A look into how numbers can be approximated by rational values.

A look into ideals and cardinal numbers in mathematical structures.

This paper examines properties of uniformly rectifiable sets in mathematics.

A study on harmonic and biharmonic functions using spherically symmetric metrics.

An overview of Schwartz functions and their connection to real projective spaces.

An overview of nonlocal minimal surfaces and their significance in geometry.

A look into Fredholm conditions and pseudodifferential operators in mathematics and physics.

A concise overview of quasi-abelian categories and bornological sheaves in mathematics.

An overview of Békollé-Bonami weights and their significance in mathematics.

This research investigates the links between shapes and mathematical functions.

An overview of Van der Corput's Theorem and its role in sequence analysis.

This study enhances understanding of pseudodifferential operators and their applications in sciences.

A concise overview of exceptional sets in mathematical projections and their significance.

This article investigates the properties and behaviors of minimal hypersurfaces in geometry.

A study on Sobolev sheaves and their role in mathematical environments.

A look at how groups transform spaces and the implications for mathematics.

Examining the relationship between Milnor fiber and Betti numbers in analytic functions.

A look into the various forms of convergence and their importance in mathematics.

An overview of key concepts in mathematical surfaces and their functions.

Examining energy minimization in harmonic maps within homotopy classes.

A guide to the links between measure theory, topology, and their applications.

Exploring the unique properties of non-simple systoles on hyperbolic surfaces.

An overview of Calderón-Zygmund operators and their role in noncommutative analysis.

An exploration of the Yamabe problem in geometry and curvature.

Explore the significance of Riesz transforms in mathematical analysis and beyond.

Study the structure and properties of groups in valued fields.

This paper discusses methods to address the Falconer distance set problem using new estimates.

A brief look into pseudodifferential operators and their significance in various fields.

An overview of key concepts in metric spaces and their interrelations.

Exploring the connections between sum of squares and half-regular functions.

This study extends classic inequalities into magnetic fractional Sobolev spaces, focusing on local and nonlocal contexts.

A look into weak solutions and nonlocal equations in modern mathematics.