Construction of regular and singular Green's functions
Proceedings of the Royal Society of Edinburgh Section A: Mathematics
The Green function of singular limit-circle problems is constructed directly for the problem, not as a limit of sequences of regular Green's functions. This construction is used to obtain adjointness and self-adjointness conditions which are entirely analogous to the regular case. As an application, a new and explicit formula for the Green function of the classical Legendre problem is found. © 2012 The Royal Society of Edinburgh.
Original Publication Date
DOI of published version
Wang, Aiping; Ridenhour, Jerry; and Zettl, Anton, "Construction of regular and singular Green's functions" (2012). Faculty Publications. 1819.