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Polar Decomposition of Wiener Measure and Schwarzian Integrals

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Abstract

In this paper are considered the polar decomposition of the Wiener measure by quasi-invariance measure on the group of diffeomorphisms.

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REFERENCES

  1. E. T. Shavgulidze, ‘‘Some properties of quasi-invariant measures on groups of diffeomorphisms of the circle,’’ Russ. J. Math. Phys. 7, 464–472 (2000).

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  2. E. T. Shavgulidze, ‘‘Properties of the convolution operation for quasi-invariant measures on groups of diffeomorphisms of a circle,’’ Russ. J. Math. Phys. 8, 495–498 (2001).

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  3. V. V. Belokurov and E. T. Shavgulidze, ‘‘Unusual view of the Schwarzian theory,’’ Mod. Phys. Lett. A 33, 1850221 (2018); arXiv:1806.05605.

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Correspondence to E. T. Shavgulidze or N. E. Shavgulidze.

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(Submitted by S. A. Grigoryan)

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Shavgulidze, E.T., Shavgulidze, N.E. Polar Decomposition of Wiener Measure and Schwarzian Integrals. Lobachevskii J Math 41, 709–713 (2020). https://doi.org/10.1134/S1995080220040228

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  • DOI: https://doi.org/10.1134/S1995080220040228

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