This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Dipierro, SerenaSavin, OvidiuValdinoci, Enrico2016-12-162019-06-2820162198-5855https://doi.org/10.34657/2607https://oa.tib.eu/renate/handle/123456789/3273We show that any function can be locally approximated by solutions of prescribed linear equations of nonlocal type. In particular, we show that every function is locally s-caloric, up to a small error. The case of non-elliptic and non-parabolic operators is taken into account as well.application/pdfeng510Density propertiesapproximations-caloric functionsLocal approximation of arbitrary functions by solutions of nonlocal equationsReport