This article is cited in 1 paper

A continuously differentiable discontinuous function on the space $D$

M. O. Smolyanova


Abstract: By explicit formula we define a real valued everywhere discontinuous function on the Schwartz space $D$ (of infinitely differentiable functions with compact support) that has continuous Frechet derivatives of all orders (which are defined everywhere).

MSC: 58C20

Received: 28.10.1994

 English version: Izvestiya: Mathematics, 1995, 59:5, 1077–1082

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