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)


  • There are currently no refbacks.

Copyright (c) 2017 B.I. Peleshenko, T.N. Semirenko

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Registered in

Not much? See «Misleading Metrics» [web-archive] (by J. Beall), «The story of fake impact factor companies ...» (by M. Jalalian); on the other hand, see «Citation Statistics» (by R. Adler, J. Ewing, P. Taylor)

ISSN (Online): 2518-7996
ISSN (Print): 2312-9557