Web19. apr 2008 · A function u ∈ C 2 (S p,q) is called a spherical harmonic 1 of d egr e e ρ if u is the restriction to S p,q of a function in H ρ . Let H ρ denote the space of spherical WebWe investigate properties of some spherical functions defined on hyperbolic groups using boundary representations on the Gromov boundary endowed with the Patterson–Sullivan …
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WebSPHERICAL FUNCTIONS OF THE LORENTZ GROUP - 177 operator has both discrete and continuous spectra. For a complete set of functions on the single-sheeted hyperboloid … WebA hyperboloid is a quadric surface, that is a surface that may be defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces, a hyperboloid is characterized by not being a cone or a cylinder, having a center of symmetry, and intersecting many planes into hyperbolas. desk walmart corner brown
QUANTUM MECHANICS (GENERAL AND NONRELATIVISTIC) 5857 Wigner functions …
WebDeterminantal formulas for zonal spherical functions on hyperboloids @article{vanDiejen2001DeterminantalFF, title={Determinantal formulas for zonal spherical functions on hyperboloids}, author={J. F. van Diejen and Anatol N. Kirillov}, journal={Mathematische Annalen}, year={2001}, volume={319}, pages={215-234} } Webspherical function ϕλ(g), we call gthe group variable and λthe spectral parameter. It is well-known that ϕλ is K-bi-invariant. By G= KAK, we always consider ϕλ(a) for a∈ A. 1.2. Main result. The asymptotic behavior of spherical functions when the group variable ggoes to infinity has been carefully studied, starting with the classical work WebIn this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part. The latter appear to be second order q -difference operator, whose eigenfunctions are related to the Al-Salam-Chihara polynomials. chuck schumer\u0027s title in the senate