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:
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
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
Shtepina T.V., “Generalization of the Funk-Hecke theorem to the case of a hyperbolic space”, Izv. Math., 68:5 (2004), 1051–1061
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
V. V. Shtepin, T. V. Shtepina, “An application of intertwining operators in functional analysis”, Izv. RAN. Ser. Mat., 73:6 (2009), 195–220; Izv. Math., 73:6 (2009), 1265–1288
T. V. Shtepina, “A generalization of the Funk–Hecke theorem to the case of hyperbolic spaces”, Izv. RAN. Ser. Mat., 68:5 (2004), 213–224; Izv. Math., 68:5 (2004), 1051–1061
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