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On the space \cO_{C,\omega}(\R^N) and its dual


Abstract


We prove that the pre-dual \cO_{C,\omega}(\R^N) of the space \cO'_{C,\omega}(\R^N) of convolutors of \cS_\omega(\R^N) is a sequentially retractive (LF)-space.

DOI Code: 10.1285/i15900932v43n1p1

Keywords: Convolutors; weight functions; ultradifferentiable rapidly decreasing function spaces of Beurling type; sequentially retractive (LF)-space

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