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Khekalo Sergey Pavlovich

Statistics Math-Net.Ru
Total publications: 14
Scientific articles: 14
Presentations: 3

Number of views:
This page:785
Abstract pages:2331
Full texts:710
References:442
Associate professor
Doctor of physico-mathematical sciences (2008)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 18.09.1975
E-mail:
Keywords: Hadamard's problem; generaliezd function; quantum groups; special functions.

Subject:

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.

Biography

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.

   
Main publications:
  1. Khekalo S. P., “Potentsialy Rissa v prostranstve pryamougolnykh matrits i izogyuigensova deformatsiya opertora Keli–Laplasa”, DAN, 376:2 (2001), 168–170  mathscinet  zmath
  2. Khekalo S. P., “Fundamentalnoe reshenie iterirovannogo operatora tipa Keli–Gordinga”, UMN, 55:3 (2000), 191–192  mathnet  mathscinet  zmath
  3. Khekalo S. P., “Izogyuigensovy deformatsii odnorodnykh differentsialnykh operatorov, svyazannykh so spetsialnym konusom ranga tri”, Matematicheskie zametki, 70:6 (2001), 927–940  mathnet  mathscinet  zmath
  4. Khekalo S. P., “Funktsiya Besselya na konechnom pole”, Izvestiya vuzov, 2001, № 2(465), 79–82  mathscinet  zmath

http://www.mathnet.ru/eng/person17451
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/666635

Publications in Math-Net.Ru
1. Dunkl–Darboux differential-difference operators
S. P. Khekalo
Izv. RAN. Ser. Mat., 81:1 (2017),  161–182
2. Solution of the Hadamard problem in the class of stepwise gauge-equivalent deformations of homogeneous differential operators with constant coefficients
S. P. Khekalo
Algebra i Analiz, 19:6 (2007),  200–219
3. The heat equation on matrix space
S. P. Khekalo
Zap. Nauchn. Sem. POMI, 332 (2006),  268–285
4. The Cayley–Laplace differential operator on the space of rectangular matrices
S. P. Khekalo
Izv. RAN. Ser. Mat., 69:1 (2005),  195–224
5. The Igusa Zeta Function Associated with a Composite Power Function on the Space of Rectangular Matrices
S. P. Khekalo
Mat. Zametki, 78:5 (2005),  773–791
6. Stepwise Gauge Equivalence of Differential Operators
S. P. Khekalo
Mat. Zametki, 77:6 (2005),  917–929
7. Riesz potentials associated with the composite power function on the space of rectangular matrices
S. P. Khekalo
Zap. Nauchn. Sem. POMI, 327 (2005),  207–225
8. Temporary deformations of degrees of the wave operator
S. P. Khekalo
Zap. Nauchn. Sem. POMI, 324 (2005),  213–228
9. The gauge related deformations of the ordinary linear differential operators with constant coefficients
S. P. Khekalo
Zap. Nauchn. Sem. POMI, 308 (2004),  235–251
10. Iso-Huygens deformations of the Cayley operator by the general Lagnese–Stellmacher potential
S. P. Khekalo
Izv. RAN. Ser. Mat., 67:4 (2003),  189–212
11. Isohuygens deformation of the ultrahyperbolic operator
S. P. Khekalo
Zap. Nauchn. Sem. POMI, 285 (2002),  207–223
12. The Bessel function on a finite field
S. P. Khekalo
Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 2,  79–82
13. Iso-Huygens Deformations of Homogeneous Differential Operators Related to a Special Cone of Rank 3
S. P. Khekalo
Mat. Zametki, 70:6 (2001),  927–940
14. Fundamental solution for an iterated operator of Cayley–Garding type
S. P. Khekalo
Uspekhi Mat. Nauk, 55:3(333) (2000),  191–192

Presentations in Math-Net.Ru
1. The Dunkl operators and integrability
S. P. Khekalo
Seminar on analytic theory of differential equations
April 8, 2015 14:00
2. Изогюйгенсовы деформации однородных дифференциальных операторов
S. P. Khekalo
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 16, 2008 11:00
3. Решение проблемы Адамара в классе специальных деформаций однородных дифференциальных операторов с постоянными коэффициентами
S. P. Khekalo
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
November 29, 2007 11:00

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