Journal
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
Volume 4, Issue 3, Pages 371-392Publisher
SPRINGER BASEL AG
DOI: 10.1007/s11868-013-0071-3
Keywords
Pseudo differential operator; Elliptic operator; Spectrum; Parametrix operator; Fredholm operator
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This paper deals with minimal and maximal pseudo-differential operators. Moreover, it is given necessary and sufficient conditions for which these operators can be Fredholm. A description of their essential spectrum has been obtained for operators of non-zero order. Finally, it is shown that change variable preserve Fredholm property of pseudo-differential operators.
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