Ellipticity and Fredholmness of pseudo-differential operators on $\ell ^2(\mathbb {Z}^n)$
نویسندگان
چکیده
The minimal operator and the maximal of an elliptic pseudo-differential with symbols on $\mathbb {Z}^n\times \mathbb {T}^n$ are proved to coincide domain is given in terms a Sobolev space. Ellipticity Fredholmness be equivalent for operators {Z}^n$. index {Z}^n$ also computed.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2021
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15661