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On the variation of eigenvalues of the shift operator along solutions of a system of differential

and operators of shift along the orbits of a discrete group G. Such operators arise in various problems

необходимое и достаточное условие, при котором оператор B − λI односторонне обратим. Weighted shift

Laplace–Bessel operator for ν> 0 and 1 < p< ∞. As an application, we further establish an atomic

The class of nonlocal operators corresponding to shifts along orbits under the action of a compact

of parabolic type with shifts in the spatial variables is considered. Sufficient conditions are proved under

We consider nonlocal operators generated by pseudodifferential operators and the operator of shift

and the index of operators corresponding to a linear shift on the torus are calculated. Topological invariants

reflecting function of differential equation were obtained. The shift operator on [-ω;ω] along the solutions

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