Jones, Frank2014-08-082014-08-081995Oehrlein, Chris. "On Garabedian's method of solving the wave equation." (1995) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/76503">https://hdl.handle.net/1911/76503</a>.https://hdl.handle.net/1911/76503In this thesis, we shall reexamine and provide as clear an exposition as possible of a method presented by P. R. Garabedian which results in an integral formula representation of a solution to the wave equation. The method involves analytically extending a harmonic function of real arguments along a purely imaginary axis in complex space and establishing the validity of the standard integral formula for harmonic functions as a representation of a solution to the Wave equation when one of the arguments is purely imaginary. This is done in the odd dimensional case by integration by parts and an application of the residue theorem, and in the even dimensional case by computing bounds on the integrals.30 ppapplication/pdfengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.MathematicsThesisOehrleinC