Literature cited
Yu. F. Korobeinik, “On the question of the representation of an arbitrary linear operator in the form of a differential operator of infinite order,” Mat. Zametki,16, No. 2, 277–283 (1974).
S. S. Linchuk, “On the representation of continuous linear operators acting in spaces of analytic functions,” Manuscript deposited at VINITI, No. 1798-82.
G. G. Braichev and V. V. Morzhakov, “On the applicability of partial differential operators of infinite order,” Mat. Zametki,24, No. 6, 771–777 (1978).
Yu. F. Korobeinik, “The general form of a linear functional in certain spaces of analytic functions and its applications to the theory of differential operators of infinite order,” in: Mathematical Analysis and Its Applications [in Russian], Rostov-on-the-Don (1969), pp. 116–132.
V. P. Podporin, “On the representation of linear operators in the form of differential operators of infinite order,” Sib. Mat. Zh.,17, No. 1, 148–159 (1976).
V. P. Podporin, “On the question of the representation of linear operators in the form of differential operators of infinite order,” Sib. Mat. Zh.,18, No. 6, 1422–1425 (1977).
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Translated from Matematicheskie Zametki, Vol. 35, No. 5, pp. 721–727, May, 1984.
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Linchuk, S.S. Representation of continuous linear operators acting in spaces of analytic functions of several variables. Mathematical Notes of the Academy of Sciences of the USSR 35, 382–385 (1984). https://doi.org/10.1007/BF01137696
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DOI: https://doi.org/10.1007/BF01137696