Some generalizations of the hypersingular integral operators
Michael Fisher (1973)
Studia Mathematica
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Michael Fisher (1973)
Studia Mathematica
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Andrzej Krupa, Bogdan Zawisza (1987)
Studia Mathematica
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C. Neugebauer (1964)
Studia Mathematica
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Kauffman, Robert M. (1993)
International Journal of Mathematics and Mathematical Sciences
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Prykarpatsky, Yarema A., Samoilenko, Anatoliy M., Prykarpatsky, Anatoliy K. (2005)
Applied Mathematics E-Notes [electronic only]
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W.O. Amrein, A. M. Boutet de Monvel-Berthier, V. Georgescu (1987)
Bulletin de la Société Mathématique de France
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Marta Kováříková (1967)
Czechoslovak Mathematical Journal
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Duggal, B.P. (2005)
International Journal of Mathematics and Mathematical Sciences
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Igor Novitskiî (2005)
Open Mathematics
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In this paper, we prove that every unbounded linear operator satisfying the Korotkov-Weidmann characterization is unitarily equivalent to an integral operator in L 2(R), with a bounded and infinitely smooth Carleman kernel. The established unitary equivalence is implemented by explicitly definable unitary operators.