Functional integration over the factor-space $Diff^{1}_{+}(S^{1})/SL(2,\textbf{R}) $

Abstract

An explicit form of the functional measure on the factor space $Diff^{1}_{+}(S^{1})/SL(2,\textbf{R})$ is obtained that makes Schwarzian functional integrals calculus simpler and more transparent.