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This article is cited in 1 scientific paper (total in 1 paper)
Factor space of functions with a singularity
V.-B. K. Rogov Moscow Institute of Railroad Transport Engineers
Abstract:
Spaces of rapidly decreasing functions on a line, which are infinitely differentiable everywhere except at zero, where there is a fixed singularity for the given space, are considered. It is proved that all such spaces are homeomorphic to each other and homeomorphic to the space of infinitely differentiable functions on a circle.
Received: 13.12.1973
Citation:
V.-B. K. Rogov, “Factor space of functions with a singularity”, Mat. Zametki, 18:2 (1975), 279–290; Math. Notes, 18:2 (1975), 753–7599
Linking options:
https://www.mathnet.ru/eng/mzm7651 https://www.mathnet.ru/eng/mzm/v18/i2/p279
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Abstract page: | 151 | Full-text PDF : | 71 | First page: | 1 |
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