多重狄利克雷级数的伪星形和伪凸性

Myroslav SHEREMETA
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引用次数: 0

摘要

让美元\ p {\ Bbb N} $, $ s = (s_1,…,s_p) \ p {\ Bbb C} ^ $, $ h = (h_1,…,h_p) \ {\ Bbb R} ^ p_ + $, $ (N) = (n_1,…,n_p) \ p {\ Bbb N} ^和序列\美元lambda_ {(N)} =(\λ^ {(1)}_ {n_1},…,\λ^ {(p)} _ {n_p}),美元0 h f {(N)}} \ exp \ {(\ lambda_ {(N)}, s) \}绝对收敛在美元\π^ p_0 = \{{你}\ \文本,s
本文章由计算机程序翻译,如有差异,请以英文原文为准。
PSEUDOSTARLIKENESS AND PSEUDOCONVEXITY OF MULTIPLE DIRICHLET SERIES
Let $p\in {\Bbb N}$, $s=(s_1,...,s_p)\in {\Bbb C}^p$, $h=(h_1,...,h_p)\in {\Bbb R}^p_+$, $(n)=(n_1,...,n_p)\in {\Bbb N}^p$ and the sequences $\lambda_{(n)}=(\lambda^{(1)}_{n_1},...,\lambda^{(p)}_{n_p})$ are such that $0h}f_{(n)}\exp\{(\lambda_{(n)},s)\}$ absolutely converges in $\Pi^p_0=\{s:\text{Re}\,s
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