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On some function spaces that appear in applied mathematics. (English) Zbl 0863.46014

The author investigates interpolation properties of function spaces generated by the eigenfunction of a differential operator and their connection with Sobolev spaces. The obtained results are applied to the solution of the first initial boundary value problem for homogeneous hyperbolic equations in Sobolev spaces of fractional order.

MSC:

46B70 Interpolation between normed linear spaces
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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