Orlov's theorem over a quasiexcellent ring

Following the approach of Kawamata and Canonaco-Stellari, we establish Orlov’s representability theorem for smooth tame Deligne-Mumford stacks with projective coarse moduli spaces over a quasiexcellent ring of finite Krull dimension. This generalizes a previous result of Canonaco-Stellari for smooth projective varieties over a field.