Another presentation of the solution

We consider the problem for the bar with the cut and give another presentation of the solution as compared with the previous one. For convenience the dependence of the functions obtained on the cut point y is indicated. 

Recalling the following properties of the function from the space C°° fty) n H Qy)  

It follows from (2.275) that the function U and, hence, the solution W belong to the space Then, by virtue of the properties of U and 

We can also consider the inverse problem to (2.276). Let an arbitrary function IT belong to the space H fly) n H fly) and satisfy the relations 

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