Research into the geometric properties of Banach spaces and metric spaces has long provided profound insights into the architecture of functional analysis and the intrinsic nature of various spatial ...
Functional data analysis is typically conducted within the L²-Hilbert space framework. There is by now a fully developed statistical toolbox allowing for the principled application of the functional ...
Geometric analysis, at its core, integrates methods from differential geometry and partial differential equations to study the properties of spaces endowed with a notion of distance. Metric spaces, ...