Lower bounds for pseudodifferential operators with a radial symbol

被引：3

作者：

Amour, Laurent ^{[1
]}

Jager, Lisette ^{[1
]}

Nourrigat, Jean ^{[1
]}

机构：

[1] Univ Reims, FR CNRS 3899, Math Lab, EA 4535, F-51687 Reims, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2015年 / 103卷 / 05期

关键词：

Pseudodifferential operators; Lower bounds; Garding's inequality;

D O I：

10.1016/j.matpur.2014.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish explicit lower bounds for pseudodifferential operators with a radial symbol. The proofs use classical Weyl calculus techniques and some useful, if not celebrated, properties of the Laguerre polynomials. (C) 2014 Elsevier Masson SAS. All rights reserved.

引用

页码：1157 / 1162

页数：6

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