Hadamard's problem; generaliezd function; quantum groups; special functions.
We apply the intertwining operators theory and the method of the Riesz' kernels for the construction of the isohuygens deformations for the invariant differential operators. We established that strong Huygens' principle holds for the Cayley–Laplace's differential operator on the space of the real rectangular matrixes. We constructed the fundamental solutions for this operator and its isohuygens deformations. The similar problem is solved for Gindikin's differential operators associated with linear homogeneous cones.
Graduated from Faculty of Mathematics and Physics of Kolomna Teacher Training Institute in 1997. Ph.D. thesis was defended in 2001. The list of my works contains 8 titles.
Khekalo S. P., “Potentsialy Rissa v prostranstve pryamougolnykh matrits i izogyuigensova deformatsiya opertora Keli–Laplasa”, DAN, 376:2 (2001), 168–170
Khekalo S. P., “Fundamentalnoe reshenie iterirovannogo operatora tipa Keli–Gordinga”, UMN, 55:3 (2000), 191–192
Khekalo S. P., “Izogyuigensovy deformatsii odnorodnykh differentsialnykh operatorov, svyazannykh so spetsialnym konusom ranga tri”, Matematicheskie zametki, 70:6 (2001), 927–940
Khekalo S. P., “Funktsiya Besselya na konechnom pole”, Izvestiya vuzov, 2001, № 2(465), 79–82