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A counterexample to Dvoretzky's stochastic approximation theorem (Corresp.)

✍ Scribed by Wolverton, C.; Rawgen, J.


Book ID
114633404
Publisher
IEEE
Year
1968
Tongue
English
Weight
261 KB
Volume
14
Category
Article
ISSN
0018-9448

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We prove in this paper that, given ␣ g 0, 1r2 , there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions Ε½< < ␣ . Ε½ j. Ε½ . and, in addition, lim exp z f z s0 on any plane strip for every f g M z Βͺ Ο± and for every derivation index j. Moreove