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.
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