Spectra of Pseudo-Differential Operators on the Schwartz Space

Autor:	Lian Pi, T. C. Chau, M. W. Wong
Rok vydání:	1993
Předmět:	Mathematics::Functional Analysis Constant coefficients Mathematics (miscellaneous) Operator (computer programming) Schwartz space Applied Mathematics Continuous spectrum Spectrum (functional analysis) Mathematical analysis Banach space Space (mathematics) Differential operator Mathematics
Zdroj:	Results in Mathematics. 23:233-241
ISSN:	1420-9012 0378-6218
DOI:	10.1007/bf03322299
Popis:	We initiate the study of the spectrum, point spectrum, continuous spectrum and residual spectrum of a constant coefficient pseudo-differential operator on the Schwartz space. The results are in sharp contrast with the corresponding ones for the Banach space Lp(Rn), 1 ≤ p ≤ ∞. An application to the study of spectra of constant coefficient pseudo-differential operators on the space of Schwartz distributions is given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b3a17a4f360ae16c0cef4ed83d365696 https://doi.org/10.1007/bf03322299 Zobrazit plný text záznamu Full text from SpringerLink