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 ...

Let S be a complete and separable metric space and μ a σ-finite, complete Borel measure on S with $\mu(S) > 0$. Let Φ be the family of all real-valued functions defined on S whose set of points of ...

Topological spaces form the foundational framework for modern analysis and geometry, characterised by a set equipped with a collection of open subsets satisfying specific axioms. This flexible ...