Complete Semiclassical Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators
Complete Semiclassical Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators
Under some assumptions, we derive a complete semiclassical asymptotics of the spectral function eh,ε(x, x, λ) for a scalar operator Aε(x,hD) = A0(hD) + εB(x,hD), where A0 is an elliptic operator and B(x,hD) is a periodic or an almost periodic perturbation.In particular, a complete semiclassical asymptotics of the integrated density …