论文标题

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

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

论文作者

Abreu, Luís Daniel

论文摘要

在对“仿射密度,冯·诺伊曼维度和Perelomov的问题”的字母“评论”中,Arxiv.2211.04879,作者:J。L. Romero教授,据称Ref2的主要定理是:= [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]。我们提供了一些背景,并以艰难的事实证明了这一说法是错误的,以及在大多数情况下,这些主张是由于错误的数学推理而导致的,或者与已发表材料中写的内容有所不同。作者可能对公开缩回和对他的评论道歉感兴趣。

In the Letter 'Comment on 'Affine density, von Neumann dimension and a problem of Perelomov', arXiv.2211.04879, by Prof. J. L. Romero, it is claimed 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]. We provide some background, and demonstrate with hard facts that this claim is false, as well as other claims in the Letter which, in most cases, either result from wrong mathematical reasoning or objectively differ from what is written in the published material. The author might be interested in publicly retracting and apologising for his comments.

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