local basis; localized basis
Mathematics term referring to a basis that is defined or behaves locally, often in contexts like linear algebra, functional analysis, or differential geometry.
In this theorem, functions are expanded using a local basis.
Compound of 局在 (localized, from 局 'local' + 在 'exist') and 基底 (basis, from 基 'base' + 底 'bottom'). The term is a direct translation of the English mathematical concept 'local basis'.