On the Siegel-Weil formula
type: Item
instance of: scholarly article
title: On the Siegel-Weil formula
zbMATH Open document ID: 0814.43002
DOI: 10.1007/BF01301536
author: Hans Reiter
published in: Monatshefte für Mathematik
publication date: 1995-06-12T00:00:00Z
full work available at URL: https://eudml.org/doc/178631
review text: This work is the continuation of ``Metaplectic Groups and Segal Algebras'' [Lect. Notes Math. 1382 (1989; Zbl 0688.43001)] . Here two sections, \S11-12, are added to the previous notes (containing \S1-10). On the basis of \textit{A. Weil}'s result [Acta Math. 113, 1-87 (1965; Zbl 0161.023)], the author modifies Weil's proof and extends the Siegel-Weil formula to a far larger class of functions. In \S11, various properties of \(G^ 1(X_ A)\) and metaplectic groups are mentioned, \S12 contains the modifications of Weil's proof. This is a supplement for the previous lecture notes, and includes some open question at the end of \S12.
Mathematics Subject Classification ID: 43A15
Mathematics Subject Classification ID: 43A22
Mathematics Subject Classification ID: 22D25
Mathematics Subject Classification ID: 22E55
zbMATH DE Number: 508790
zbMATH Keywords: Banach algebras
zbMATH Keywords: group algebras
zbMATH Keywords: Segal algebras
zbMATH Keywords: Siegel-Weil formula
zbMATH Keywords: metaplectic groups
reviewed by: Hang-Chin Lai
MaRDI profile type: Publication
cites work: Some finiteness properties of adele groups over number fields
cites work: Q3708857
cites work: Q5567607
cites work: Sur la formule de Siegel dans la théorie des groupes classiques
description: scientific article; zbMATH DE number 508790