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This book features a selection of reports and survey articles on current research in the area of single and multivariable operator theory and related fields. The latter include singular integral equations, ordinary and partial differential equations, complex analysis, numerical linear algebra, real algebraic geometry. These were among the topics presented at the 26th International Workshop in Operator Theory and its Applications, held in Tbilisi, Georgia, in the summer of 2015. Moreover, the volume includes three special articles. One of them is dedicated to the memory of Leiba Rodman, another one to Murray Marshall, and a third article is dedicated to the memory of Boris Khvedelidze, an outstanding Georgian mathematician and among the founding fathers of the theory of singular integral equations. The book is of interest to a wide audience of mathematicians, from graduate students to researchers, whose primary interests lie in operator theory, complex analysis and applications, and to specialists in mathematical physics.