Coefficient multipliers with closed range
Abstract
For two power series and with positive radii of convergence, the Hadamard product or convolution is defined by . We consider the prblem of characterizing those convolution operators acting on spaces of holomorphic functions which have closed range. In particular, we show that every Euler differential operator is a convolution operator and we characterize the Euler differential operators, which are surjective on the space of holomorphic functions on every domain which contains the origin.
DOI Code:
10.1285/i15900932v17p61
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