This work introduces readers to the topic of maximal regularity for
difference equations. The authors systematically present the method of
maximal regularity, outlining basic linear difference equations along
with relevant results. They address recent advances in the field, as
well as basic semi group and cosine operator theories in the discrete
setting. The authors also identify some open problems that readers may
wish to take up for further research. This book is intended for graduate
students and researchers in the area of difference equations,
particularly those with advance knowledge of and interest in functional
analysis.