2012/09/20 by Tomasz Kochanek, Kochanek, Tomasz, Wirginia Wyrobek-Kochanek +1
Computer Science · Mathematics · #39B55 #58A05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #math.CA #msc:39B55 #msc:58A05
paper · pdf · doi:10.48550/arxiv.1209.4586
arxiv created 2012/09/20 · openalex publication_date 2012/09/20 · arxiv updated 2012/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
If a function f, acting on a Euclidean space ℝn, is "almost" orthogonally additive in the sense that f(x+y)=f(x)+f(y) for all (x,y)∈\bot∖ Z, where Z is a "negligible" subset of the (2n-1)-dimensional manifold \bot⊂ℝ2n, then f coincides almost everywhere with some orthogonally additive mapping.