Author : Robert John Victor Jackson
Publisher : American Mathematical Soc.
ISBN 13 : 082181835X
Total Pages : 246 pages
Book Rating : 4.8/5 (218 download)
Book Synopsis Canonical Differential Operators and Lower-Order Symbols by : Robert John Victor Jackson
Download or read book Canonical Differential Operators and Lower-Order Symbols written by Robert John Victor Jackson and published by American Mathematical Soc.. This book was released on 1973 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).