Manuscript VII-H@1 · VII-H.tex · example · d20d2a9f

Example: An invisible nonzero distribution

Why the same shortcuts fail in a more general response › A finite bank is not an injective reconstruction · lines 1587–1595

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Given finitely many compact tests $F_{1}, \dots, F_{m}$ on an open set, choose a nonzero smooth compact function $u$ orthogonal to their finite-dimensional span. Then

⟨ u, F_{i} ⟩ = 0 for every i, u \neq = 0.

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unlabeled · line 1591
$⟨ u, F_{i} ⟩ = 0 for every i, u \neq = 0.$

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section: A finite bank is not an injective reconstruction