Abstract
The present note deals with convolution operators $\mathscr{L}_\mu$ on the class of holomorphic multiple Dirichlet series in bounded convex domains in $\mathbf{C}^n$. A surjectivity criterion for this operator is obtained. Moreover, the explicit formula for a particular solution $c$ of the equation $\mathscr{L}_{\mu}c=d$ for a given right-hand side $d$ is given.
Citation
Hai Khôi LÊ. "Convolution Operators on Holomorphic Dirichlet Series." Tokyo J. Math. 20 (2) 389 - 402, December 1997. https://doi.org/10.3836/tjm/1270042112
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