Keywords: iintertwining operators, Funk-Hecke theorem, simple spectrum representation, hyperbolic harmonics, continuous basis, the generalization of the Funk-Hecke theorem.
UDC: 515.12

Subject:

Integral operatore. Integral operators

Main publications:

1. Burskyj V.P., Shtepina T.V., “On the spectrum of an equivariant extension of the Laplace operator in a ball”, Ukr. Math. J., 52:11 (2000), 1679–1690      
2. Shtepina T.V., “Shtepina T.V. About representation as convolution of the operator, permutable with the operator quasiregular representations of group of Lorentz”, Tr. Inst. Prikl. Mat. Mekh., 7 (2002), 225–228    
3. Shtepina T.V., “Generalization of the Funk-Hecke theorem to the case of a hyperbolic space”, Izv. Math., 68:5 (2004), 1051–1061      
4. Shtepina T.V., “On integral transform in pseudoeuclidean space associated with an integration over light cone”, International Jornal of Differentifal Equations and Applications, 10:1 (2005), 37–42    

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• Donbas National Academy of Civil Engineering and Architecture
• Donetsk Institute for Social Education, Donetsk