On Conditions of Differentiability of Locally Compact Groups
- 1 June 1950
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 1, 71-81
- https://doi.org/10.1017/s0027763000022856
Abstract
A formulation of the differentiability of the product function of a locally compact group at the identity may be given in the following way: In a sufficiently small euclidean neighborhood of the identity product satisfies the condition: where M(λ) is a function such that M(λ) → 0 as λ → 0, From this we can deduce easily.Keywords
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