Functions which are almost multipliers of Hilbert function spaces

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

We introduce a natural class of functions, the {\em pseudomultipliers},
associated with a general Hilbert function space, prove an extension theorem
which justifies the definition, give numerous examples and establish the
nature of the 1-pseudomultipliers of Hilbert spaces of analytic functions
under mild hypotheses.

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