Canonical Differential Operators and Lower-Order Symbols
Robert John Victor Jackson
Jan 1973 · American Mathematical Society: Memoirs of the American Mathematical Society Book 135 · American Mathematical Soc.
Ebook
235
Pages
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About this ebook
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).
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