00-214 Jonathan Butler
Symbolic calculus and composition for pseudodifferential operators of positive and non-orthogonal type (20K, AMS-TeX) May 8, 00
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We consider symbolic calculus and composition of $ h $ pseudodifferential operators. We define a general class of symbols and formulate natural conditions under which an $ h $ pseudodifferential operator (or $ h $ P.D.O. for short) may be represented in terms of other quantisations, and under which the composition of two $ h $ P.D.O. is an $ h $ P.D.O. The first condition corresponds, in some sense, to the $ h $ P.D.O. being of {\it positive type}, and the second to the pair of $ h $ P.D.O. being of {\it non-orthogonal} type.

Files: 00-214.src( 00-214.keywords , orth.tex )