Traces of generalized potentials

B.I. Peleshenko (Dnipropetrovsk State Agrarian and Economic University)
T.N. Semirenko (Dnipropetrovsk State Agrarian and Economic University)


The theorem on finding traces of integral operators defined on a symmetric space with a certain kernel is obtained using the Krein-Semenov interpolation theorem.


measure; distribution function; function permutation; symmetric space; operators interpolation


Peetre J. "On the trace of potentials", Ann. Scuola Norm. Sup. Pisa, 1975; 2: pp. 33-43.

Adams D.R. "Traces of potentials arising from translation invariant operators", Ann. Scuola Norm. Sup. Pisa, 1971; 25: pp. 203-217.

Krein S.G., Petunin Yu.I., Semyonov Ye.M. Interpolation of linear operators, Nauka, Moscow, 1978; 400 p. (in Russian)


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