Spectral invariance of algebras of pseudodifferential operators

Robert Lauter; Bertrand Monthubert; Victor Nistor

doi:10.1016/S1631-073X(02)02393-2

Spectral invariance of algebras of pseudodifferential operators

Robert Lauter
, Bertrand Monthubert
, Victor Nistor

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We construct and study several algebras of pseudodifferential operators that are closed under holomorphic functional calculus. This leads to a better understanding of the structure of inverses of elliptic pseudodifferential operators on certain non-compact manifolds. It also leads to decay properties for the solutions of these operators.

Original language	English (US)
Pages (from-to)	1095-1099
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	334
Issue number	12
DOIs	https://doi.org/10.1016/S1631-073X(02)02393-2
State	Published - Jun 30 2002

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1016/S1631-073X(02)02393-2

Cite this

@article{916e59f2455747f88cbb9221aac6d00b,

title = "Spectral invariance of algebras of pseudodifferential operators",

abstract = "We construct and study several algebras of pseudodifferential operators that are closed under holomorphic functional calculus. This leads to a better understanding of the structure of inverses of elliptic pseudodifferential operators on certain non-compact manifolds. It also leads to decay properties for the solutions of these operators.",

author = "Robert Lauter and Bertrand Monthubert and Victor Nistor",

year = "2002",

month = jun,

day = "30",

doi = "10.1016/S1631-073X(02)02393-2",

language = "English (US)",

volume = "334",

pages = "1095--1099",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "12",

}

TY - JOUR

T1 - Spectral invariance of algebras of pseudodifferential operators

AU - Lauter, Robert

AU - Monthubert, Bertrand

AU - Nistor, Victor

PY - 2002/6/30

Y1 - 2002/6/30

N2 - We construct and study several algebras of pseudodifferential operators that are closed under holomorphic functional calculus. This leads to a better understanding of the structure of inverses of elliptic pseudodifferential operators on certain non-compact manifolds. It also leads to decay properties for the solutions of these operators.

AB - We construct and study several algebras of pseudodifferential operators that are closed under holomorphic functional calculus. This leads to a better understanding of the structure of inverses of elliptic pseudodifferential operators on certain non-compact manifolds. It also leads to decay properties for the solutions of these operators.

UR - https://www.scopus.com/pages/publications/0038391457

UR - https://www.scopus.com/pages/publications/0038391457#tab=citedBy

U2 - 10.1016/S1631-073X(02)02393-2

DO - 10.1016/S1631-073X(02)02393-2

M3 - Article

AN - SCOPUS:0038391457

SN - 1631-073X

VL - 334

SP - 1095

EP - 1099

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 12

ER -

Spectral invariance of algebras of pseudodifferential operators

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this