Some asymptotic formulas for elliptic pseudodifferential operators
type: Item
instance of: scholarly article
title: Some asymptotic formulas for elliptic pseudodifferential operators
zbMATH Open document ID: 0631.35074
DOI: 10.1007/BF01077985
author: Mikhail Semenovich Agranovič
publication date: 1987-01-01T00:00:00Z
review text: Let M be a smooth closed n-dimensional manifold and A be a classical pseudo-differential operator on M with the principal symbol \(a_ 0\). Suppose that the values of \(a_ 0\) lie in \({\mathbb{C}}\setminus L\), where L is a closed non-empty angle in the complex plane with the vertex in the origin. The author obtains the complete asymptotic expansion in L for the function K(x,x,\(\xi)\) where K(x,y,\(\xi)\) is the kernel of the operator \((A-\xi I)^{-1}\).
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 47Gxx
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 4026001
zbMATH Keywords: principal symbol
zbMATH Keywords: non-empty angle
zbMATH Keywords: complex plane
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: kernel
MaRDI profile type: Publication
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published in: Functional Analysis and Its Applications
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description: scientific article; zbMATH DE number 4026001