Geodesic
Local algebras of two-sided convolutions on the Heisenberg group
Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 370-381.

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The paper is devoted to the study of the algebraic structure of local algebras of two-sided convolutions with singular kernels on the Heisenberg group. The composition law for triples equivalent to these convolution operators is established. 
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V. V. Kisil. Local algebras of two-sided convolutions on the Heisenberg group. Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 370-381. http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a5/

[1] Taylor M. E., Non commutative microlocal analysis, I, Amer. Math. Soc. Memoirs, 313, 1984 | Zbl

[2] Geller D., Analytic pseudodifferential operators for the Heisenberg group and local solvability, Princeton University Press, New Jersey, 1990 | Zbl

[3] Folland G. B., Harmonic analysis in phase space, Princeton University Press, New Jersey, 1989 | Zbl

[4] Vasilevski N. L., Trujillo R., “Group convolution operators on standard CR-manifold. I: Structural properties”, Int. Eq. Op. Th., 19:1 (1994), 65–107 | DOI | MR

[5] Kisil V. V., Algebry psevdodifferentsialnykh operatorov, svyazannye s gruppoi Geizenberga, Diss. ... k. f.-m. n., OGU, Odessa, 1991

[6] Kisil V. V., No more than mechanics, I, Repote Interno #151, Departamento de Mathemáticas, CINVESTAV del I.P.N., Mexico, 1994

[7] Kisil V. V., “Lokalnoe povedenie operatorov dvustoronnei svertki s singulyarnymi yadrami na gruppe Geizenberga”, Matem. zametki, 56:2 (1994), 41–55 | MR | Zbl

[8] Kisil V. V., “Algebra dvustoronnikh svertok na gruppe Geizenberga”, Dokl. RAN, 325:1 (1992), 20–23 | MR | Zbl

[9] Hörmander L., The analysis of linear partial differential operators. III. Pseudodifferential operators, Springer-Verlag, Berlin–New York–Tokyo, 1985

[10] Shubin M. A., Psevdodifferentsialnye operatory i spektralnaya teoriya, Nauka, M., 1978

[11] Simonenko I. B., “Novyi metod dlya izucheniya lineinykh integralnykh uravnenii singulyarnogo tipa. I; II”, Izv. AN SSSR. Ser. matem., 29 (1965), 567–586 ; 757–782 | MR | Zbl

[12] Kisil V. V., “Ob algebre psevdodifferentsialnykh operatorov na gruppe Geizenberga”, Sib. matem. zh., 34:6 (1993), 75–85 | MR | Zbl