Add to ORKGIn this article, using the notion of group contraction, we obtain the spherical functions of the strong Gelfand pair (M(n),SO(n)) as an appropriate limit of spherical functions of the strong Gelfand pair (SO(n+1),SO(n)) and also of the strong Gelfand pair (SO(n,1),SO(n)).Fil: Díaz Martín, Rocío Patricia. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Pacharoni, Maria Ines. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico...
Abstract. The generalized binomial coefficients discussed in this paper were first studied in the co...
AbstractSuppose thatK⊂U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg groupH...
AbstractLet Hn be the (2n + 1)-dimensional Heisenberg group, and let K be a compact subgroup of Aut(...
AbstractIn this paper, first we show that an analogy of the Christoffel–Darboux formula holds for th...
Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1...
We denote by $H_{n}$ the $2n+1$-dimensional Heisenberg group and study the spherical transform assoc...
Abstract. Suppose that K ⊂ U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg g...
Abstract. The action of the unitary group on the real Heisenberg group yields a Gelfand pair. The as...
Introduction. $E/F $ $\mathfrak{p}- $ $G=GL_{n}(E), $ $H=GL_{n}(F) $ $G $ smooth $\pi $ $H\backslash...
A Laplace series of spherical harmonics Yn(θ, λ) is the most common representation of the gravitatio...
We show that the explicit formula of Stanley-Féray-Śniady for the char- acters of the symmetric grou...
In this paper analytic contractions have been established in the R → ∞ con- traction limit for exact...
Abstract. We show that Cauchy’s, d’Alembert’s functional equations and their generalizations are the...
Abstract. By taking an appropriate zero-curvature limit, we obtain the spheri-cal functions on flat ...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
Abstract. The generalized binomial coefficients discussed in this paper were first studied in the co...
AbstractSuppose thatK⊂U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg groupH...
AbstractLet Hn be the (2n + 1)-dimensional Heisenberg group, and let K be a compact subgroup of Aut(...
AbstractIn this paper, first we show that an analogy of the Christoffel–Darboux formula holds for th...
Let H_n be the 2n + 1-dimensional Heisenberg group. We consider thegeneralized Gelfand pairs (R*xH_1...
We denote by $H_{n}$ the $2n+1$-dimensional Heisenberg group and study the spherical transform assoc...
Abstract. Suppose that K ⊂ U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg g...
Abstract. The action of the unitary group on the real Heisenberg group yields a Gelfand pair. The as...
Introduction. $E/F $ $\mathfrak{p}- $ $G=GL_{n}(E), $ $H=GL_{n}(F) $ $G $ smooth $\pi $ $H\backslash...
A Laplace series of spherical harmonics Yn(θ, λ) is the most common representation of the gravitatio...
We show that the explicit formula of Stanley-Féray-Śniady for the char- acters of the symmetric grou...
In this paper analytic contractions have been established in the R → ∞ con- traction limit for exact...
Abstract. We show that Cauchy’s, d’Alembert’s functional equations and their generalizations are the...
Abstract. By taking an appropriate zero-curvature limit, we obtain the spheri-cal functions on flat ...
The construction of a cubature formula of strength t for the unit sphere Ω d in ℝ d amounts to findi...
Abstract. The generalized binomial coefficients discussed in this paper were first studied in the co...
AbstractSuppose thatK⊂U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg groupH...
AbstractLet Hn be the (2n + 1)-dimensional Heisenberg group, and let K be a compact subgroup of Aut(...