As Anthriscus sylvestrisis is the only Apiaceae in Svalbard, and the only species there with 3-pinnate leaves and compound umbels, no mistake is possible.
Introduced. One large and stable population of Anthriscus sylvestris is known within the Russian mining town of Barentsburg (Nordenskiöld Land), obviously introduced with husbandry. See Alsos et al. (in press 2015). Otherwise, the species is European and W Siberian and common in agricultural areas north to beyond the arctic boundary in Norway and Russia.