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This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer’s research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory. Biographical material  and Lerer's list of publications complete the volume.

Dilation theory (Operator theory). --- Matrices. --- Operator theory. --- Operator theory --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Mathematics. --- Difference equations. --- Functional equations. --- System theory. --- Operator Theory. --- Difference and Functional Equations. --- Systems Theory, Control. --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Math --- Science --- Functional analysis --- Systems theory. --- Equations, Functional --- Systems, Theory of --- Systems science --- Philosophy --- Lerer, Leonid.