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math.AP2007★ 33 cited
Interpolation with a function parameter and refined scale of spaces
Vladimir A. Mikhailets, Alexandr A. Murach
The interpolation of couples of separable Hilbert spaces with a function parameter is studied. The main properties of the classic interpolation are proved. Some applications to the…
math.AP2007★ 5 cited
Elliptic systems of pseudodifferential equations in a refined scale on a closed manifold
Vladimir A. Mikhailets, Alexandr A. Murach
We study a system of pseudodifferential equations that is elliptic in the sense of Petrovskii on a closed compact smooth manifold. We prove that the operator generated by the syste…