论文标题

评论“仿射密度,冯·诺伊曼(Von Neumann)维度和Perelomov的问题”

Comment on "Affine density, von Neumann dimension and a problem of Perelomov"

论文作者

Romero, José Luis

论文摘要

我们指出,ref2的主要定理:= [adv。数学。 407,文章ID 108564,22 p。 (2022)]包括在先前的研究调查中参考文献1:= [Expo。 Math。,40(2),265-301,2022]。对于上下文,我们还重现了参考文献1中给出的相当简单的证据(本质上是由于Janssen引起的)。我们还简要讨论了文献替代参考文献。具体而言,我们在新颖性,相关性和陈述结果的归因方面与Ref2有所不同(并且在某种程度上是陈述的正确性)。

We point out that the main theorem of Ref2 := [Adv. Math. 407, Article ID 108564, 22 p. (2022)] is included in the prior research survey Ref1 := [Expo. Math., 40(2), 265-301, 2022]. For context, we also reproduce the rather simple proof given in Ref1 (essentially due to Janssen). We also offer a brief discussion of the literature that is alternative to that given in Ref2. Specifically, we differ with Ref2 with respect to novelty, relevance, and attribution of stated results (and, to some extent, correctness of statements).

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