2019•arXiv (Cornell University)Open access
Ellipticity and Fredholmness of pseudo-differential operators on\n $\\ell^2(\\Zn)$
Aparajita Dasgupta, Vishvesh Kumar
Open full text 0 citations
Abstract
The minimal operator and the maximal operator of an elliptic\npseudo-differential operator with symbols on $\\Z^n\\times \\mathbb{T}^n$ are\nproved to coincide and the domain is given in terms of a Sobolev space.\nEllipticity and Fredholmness are proved to be equivalent for\npseudo-differential operators on $\\Z^n$. The index of an elliptic\npseudo-differential operator on $\\Z^n$ is also computed.\n
Open-access reader