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Absolutely representing systems of exponentials with imaginary exponents in ultrajet spaces of normal type and the extension of Whitney functions. (Russian) Zbl 1299.46028

Summary: We prove that an analogue of Whitney’s theorem for ultrajet spaces of normal type is valid if and only if, in these spaces, there are absolutely representing systems of exponentials with imaginary exponents.

MSC:

46E10 Topological linear spaces of continuous, differentiable or analytic functions
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