We develop a difference equations analogue of recent results by F. Gesztesy, K. A. Makarov, and the second author relating the Evans function and Fredholm determinants of operators with semi-separable kernels.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-7, author = {David Cramer and Yuri Latushkin}, title = {Fredholm determinants and the Evans function for difference equations}, journal = {Banach Center Publications}, volume = {75}, year = {2007}, pages = {111-135}, zbl = {1118.39300}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-7} }
David Cramer; Yuri Latushkin. Fredholm determinants and the Evans function for difference equations. Banach Center Publications, Tome 75 (2007) pp. 111-135. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-7/