Rigidity, boundary interpolation and reproducing kernels

TL;DR

This paper employs reproducing kernel techniques to investigate rigidity problems, extending the analysis to include non-positive cases, thereby broadening the scope of traditional methods.

Contribution

It introduces a novel approach using reproducing kernels to address rigidity issues, including non-positive scenarios, which were less explored before.

Findings

Reproducing kernel methods effectively analyze rigidity problems.

The approach extends to non-positive cases, broadening applicability.

Provides new insights into boundary interpolation and kernel functions.

Abstract

We use reproducing kernel methods to study various rigidity problems. The methods and setting allow us to also consider the non-positive case.