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Compressible flow is considered in the hodograph plane. The linearity of the equation determining the stream function is exploited to derive a representation formula involving boundary data only, and a fundamental solution to the adjoint equation. For subsonic flow, an efficient algorithm for computing the fundamental solution is developed.doi:10.1090/qam/1955224 fatcat:qig2b5oi5ngypdqi5jvy7ncvzq