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Construction of regular and singular Green's functions

  • Aiping Wang (a1), Jerry Ridenhour (a2) and Anton Zettl (a3)

Abstract

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.

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Construction of regular and singular Green's functions

  • Aiping Wang (a1), Jerry Ridenhour (a2) and Anton Zettl (a3)

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