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- W267641206 abstract "Publisher Summary This chapter explains the most general theory of pseudodifferential operators in hyperfunction theory. It turns out that such a theory has some formal similarity to the S m p ,δ -theory, which is standard in distribution theory. Symbol formulae for adjoint operators and composite operators require careful treatment. Such formulae are provided under reasonable assumptions. Some of the examples are presented in microlocal analysis of partial differential equations. A microlocal operator acts on microfunctions on M , which has the microlocal property, that is, under this action, the support of each microfunction does not increase. An operator possessing the microlocal property is called a pseudo-differential operator, and one may understand that the notion of microlocal operators is the most general one of such operators. Several subclasses of microlocal operators have been investigated using symbol functions. The aim is to extend such an investigation for general microlocal operators. The chapter also provides a simple characterization of microlocal operators from a symbol theoretical point of view." @default.
- W267641206 created "2016-06-24" @default.
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- W267641206 date "1988-01-01" @default.
- W267641206 modified "2023-09-27" @default.
- W267641206 title "Pseudodifferential Operators in Hyperfunction Theory" @default.
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- W267641206 doi "https://doi.org/10.1016/b978-0-12-400466-5.50031-7" @default.
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