Geodesic
An example of a measure quasi-invariant under the action of the diffeomorphism group of the circle
Funkcionalʹnyj analiz i ego priloženiâ, Tome 12 (1978) no. 3, pp. 55-60 
E. T. Shavgulidze. An example of a measure quasi-invariant under the action of the diffeomorphism group of the circle. Funkcionalʹnyj analiz i ego priloženiâ, Tome 12 (1978) no. 3, pp. 55-60. http://geodesic.mathdoc.fr/item/FAA_1978_12_3_a5/
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[1] Ismagilov R.S., “Ob unitarnykh predstavleniyakh gruppy diffeomorfizmov okruzhnosti”, Funkts. analiz, 5:3 (1971), 45–53 | MR | Zbl

[2] Vershik A.M., Gelfand I.M., Graev M.I., “Predstavleniya gruppy diffeomorfizmov”, UMN, XXX:6 (1975), 3–50

[3] Vershik A.M., “Opisanie invariantnykh mer dlya deistvii nekotorykh beskonechnomernykh grupp”, DAN SSSR, 218:4 (1974), 749–752 | Zbl