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Let $D$ be a Dirac operator on spinor bundle $S$ over even-dimensional non-compact spin manifold $X$, $$ \left<s_1,s_2\right>_{L_2} = \int_X \left<s_1,s_2\right> \quad \forall s_1,s_2\in\...

Let's denote the set of all Pseudo-differential operators with symbol of “order” $d$ by $\Psi_d(M)$ and Sobolev space on $M$ by $H_s(M)$. It is known that If $P\in\Psi_d(M)$ Then $P$ extends to a ...