Abstract
We develop differentiation theory based on a new definition of derivative: in terms of integrals of curves. It applies to a very wide class of domains. Some ‘elementary’ maps between Fréchet spaces, excluded from calculus by previous theories, now emerge as smooth maps.
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Nel, L.D. Infinite dimensional calculus allowing nonconvex domains with empty interior. Monatshefte für Mathematik 110, 145–166 (1990). https://doi.org/10.1007/BF01302783
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DOI: https://doi.org/10.1007/BF01302783