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This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-th order ordinary differential equations.In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint problems. Bounded operators are associated to these problems, and Chapter 1 provides an in depth investigation of eigenfunctions and associated functions for bounded Fredholm valued operators in Banach spaces. Since every n-th orde

Boundary value problems. --- Nonselfadjoint operators. --- Eigenvalues. --- Differential equations. --- 517.91 Differential equations --- Differential equations --- Matrices --- Non-self-adjoint operators --- Operators, Non-self-adjoint --- Operators, Nonselfadjoint --- Linear operators --- Boundary conditions (Differential equations) --- Functions of complex variables --- Mathematical physics --- Initial value problems