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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1973 Volume 91(133), Number 4(8), Pages 475–487 (Mi sm3309)

This article is cited in 3 papers

The general form of isomorphisms commuting with differentiation in spaces of entire functions of slow growth

Yu. F. Korobeinik, V. V. Morzhakov


Abstract: The general form is found for an isomorphism $I$ in a space of entire functions of several complex variables of sufficiently slow growth, when $I$ is required to commute with every operator $D^p=\partial^{p_1+\dots+p_n}/\partial z^{p_1}_1\cdots\partial z^{p_n}_n$.
Bibliography: 14 titles.

UDC: 517.43+517.55

MSC: Primary 30A98, 46E15; Secondary 15A06

Received: 12.07.1972


 English version:
Mathematics of the USSR-Sbornik, 1973, 20:4, 493–505

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