k-双曲Dirac算子的傅立叶变换

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-05-04 DOI:10.1007/s00006-023-01274-y

Wenxin Li, Pan Lian

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引用次数: 0

摘要

用（\mathfrak｛osp｝（1|2））方法研究了k双曲Dirac算子的多项式零解。然后利用这些解来构造与k双曲Dirac算子相关联的（分数）傅立叶变换。得到的积分核是邓克尔核的一种特殊类型。此外，我们给出了我们定义的三个不同分数傅立叶变换的紧不确定性不等式。即使对于普通分式Hankel变换和Weinstein变换，这些不等式也是新的。

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The Fourier Transform Associated to the k-Hyperbolic Dirac Operator

The polynomial null solutions of the k-hyperbolic Dirac operator are investigated by the \(\mathfrak {osp}(1|2)\) approach. These solutions are then utilized to construct the (fractional) Fourier transform associated to the k-hyperbolic Dirac operator. The resulting integral kernels are found to be a specific kind of Dunkl kernels. Additionally, we give tight uncertainty inequalities for three distinct fractional Fourier transforms that we have defined. These inequalities are new even for the ordinary fractional Hankel and Weinstein transforms.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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