一种新的正规化西格尔-韦尔公式。第一部分

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-01-22 DOI:10.1007/s00039-024-00657-y

David Ginzburg, David Soudry

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引用次数: 0

摘要

在本文中，我们证明了一个公式，将交映群上的某些残余爱森斯坦级数实现为正则化的内核积分。这些爱森斯坦级数以及核积分都附在 Speh 表示上。这构成了我们提出的新型正则化西格尔-韦尔公式的第一步。这个新公式与蔡氏、弗里德伯格、金兹伯格和卡普兰的广义倍积分有着相同的关系，就像正规化西格尔-韦尔公式与皮亚特斯基-沙皮罗和拉利斯的倍积分一样。

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A New Regularized Siegel-Weil Type Formula. Part I

In this paper, we prove a formula, realizing certain residual Eisenstein series on symplectic groups as regularized kernel integrals. These Eisenstein series, as well as the kernel integrals, are attached to Speh representations. This forms an initial step to a new type of a regularized Siegel-Weil formula that we propose. This new formula bears the same relation to the generalized doubling integrals of Cai, Friedberg, Ginzburg and Kaplan, as does the regularized Siegel-Weil formula to the doubling integrals of Piatetski-Shapiro and Rallis.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464