In this paper we develop elements of the global calculus of Fourier integral operators in R n under minimal decay assumptions on phases and amplitudes. We also establish global weighted Sobolev L 2 estimates for a class of Fourier integral operators that appears in the analysis of global smoothing p
โฆ LIBER โฆ
Residue Traces for Certain Algebras of Fourier Integral Operators
โ Scribed by V. Guillemin
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 864 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-1236
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โฆ Synopsis
In this paper a trace functional is defined for certain algebras of Fourier integral operators (including, for instance, the algebra of Toeplitz operators on the boundary of a strictly pseudoconvex domain) and it is shown that vanishing of this trace characterizes commutators in each of these algebras. 1993 Academic Press, Inc.
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