Canonical differential operators and lower-order symbols

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The work is devoted to the study of some geometric invariants which can be associated to a partial differential operator. Recently L. Hörmander introduced the notion of a subprincipal symbol for a pseudodifferential operator. The subprincipal symbol is an invariant for every pseudodifferential operator which maps sections of the 1/2 -density bundle [capital Greek]Omega 1/2([italic]X) to sections of the same bundle. The author proves that the sub-subprincipal symbol cannot exist for all pseudodi…

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Title Statements

Full title :Canonical differential operators and lower-order symbols / [by] Robert John Victor Jackson.

Summary

The work is devoted to the study of some geometric invariants which can be associated to a partial differential operator. Recently L. Hörmander introduced the notion of a subprincipal symbol for a pseudodifferential operator. The subprincipal symbol is an invariant for every pseudodifferential operator which maps sections of the 1/2 -density bundle [capital Greek]Omega 1/2([italic]X) to sections of the same bundle. The author proves that the sub-subprincipal symbol cannot exist for all pseudodifferential operators on [capital Greek]Omega 1/2([italic]X).

Edition Statements

Publication Date:©1973.

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, R.I
Language:eng
Publication Date:©1973.

The Physical Object

Description:viii, 235 pages : : illustrations ; : 26 cm.

Edition Identifiers

ISBN:082181835X, 9780821818350
oclc:ocm00640851
LC Classification:QA3
Dewey Decimal:510/.8 s

Introduction -- Part I ; Symbols -- Special canonical operators -- Non-existence theorems -- Part II ; The Lie derivative -- Second-order canonical operators -- A third-order canonical operator.

Subjects

Differentialoperator Fibrés des jets (Mathématiques) Jet bundles (Mathematics) Manifolds (Mathematics) Operadors pseudodiferencials Opérateurs pseudo-différentiels Pseudodifferential operators Pseudodifferentialoperator Varietats (Matemàtica) Variétés (Mathématiques)