Abstract
We consider a model elliptic pseudodifferential equation in a special canonical domains of a multidimensional space. Using a special representation for an elliptic symbol, we give the formula for a general solution of such an equation and choose additional conditions under which this boundary value problem has a unique solution in appropriate Sobolev‐Slobodetskii spaces. Also, we introduce some transmutation operators that help us in constructing the solution.
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