CORRECTIONS
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Submitted 1957-01-01 | RussiaRxiv: ru-195701.46343 | Translated from Russian

Abstract

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CORRECTIONS

In the article by Yu. M. Berezanskii, “A Generalization of Bochner’s Theorem to Expansions in Eigenfunctions of Partial Differential Equations,” published in DAN, vol. 110, no. 6, 1956, after formula (1) one should read: with complex-valued coefficients; (L') will denote the expression conjugate to (L), and (\overline{L}) the expression obtained from (L) by replacing the coefficients by their complex conjugates. In the case of ordinary derivatives we shall assume that the coefficients (a_{k_1}(x)) are continuously differentiable (2+k_1) times; in the case of partial derivatives, that (a_{k_1,\ldots,k_n}(x)) are continuously differentiable (2n+r+k_1+\cdots+k_n) times, and that (L), together with the expression (\mathscr{L}[F]=L_x[F]+\overline{L}_y[F]) ((F=F(x,y))), is elliptic*.

In the article by N. P. Movchan, “The Influence of the Antielectron on Delayed Positive Conditioned Reflexes,” published in DAN, vol. 112, no. 6, 1957:

Location Printed Should read
In the title of the article (p. 1149), in the table of contents (p. 979), and in the heading of Table 3 (p. 1151) anelectron antielectron
In Table 2, column 3, line 3, experiment 28 24 14

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CORRECTIONS