In mathematics the spectral theory of ordinary differential equations is the part of spectral theory concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. Self adjoint extensions of differential operators let be the differential operator given by 1 on functions in that is functions having derivatives of arbitrary order and vanishing outside a compact set lying inside . This book is an introduction to the theory of partial differential operators it assumes that the reader has a knowledge of introductory functional analysis up to the spectral theorem for bounded linear operators on banach spaces. Spectral theory and differential operators second edition david edmunds and des evans oxford mathematical monographs corrected and revised edition with notes at the end of each section to discuss the developments over the last three decades
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