Asymptotics of spectral projectors of pseudodifferential operators (Q1200377)

The author studies an asymptotic behavior of spectral projectors of pseudo-differential operators (PDO) with operator-valued symbols and being defined on an open set \(\Omega\subset\mathbb{R}^ n\). Asymptotics of the spectrum of a matrix PDO in an arbitrary (unbounded, in general) set \(\Omega\subset\mathbb{R}^ n\) of a finite measure is calculated.