Convolution Operators on Holomorphic Dirichlet Series
LÊ Hai Khôi
Tokyo J. of Math., Tome 20 (1997) no. 2, p. 389-402 / Harvested from Project Euclid
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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.
Publié le : 1997-12-15
Classification:  
@article{1270042112,
     author = {L\^E Hai Kh\^oi},
     title = {Convolution Operators on Holomorphic Dirichlet Series},
     journal = {Tokyo J. of Math.},
     volume = {20},
     number = {2},
     year = {1997},
     pages = { 389-402},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270042112}
}

LÊ Hai Khôi. Convolution Operators on Holomorphic Dirichlet Series. Tokyo J. of Math., Tome 20 (1997) no. 2, pp.  389-402. http://gdmltest.u-ga.fr/item/1270042112/