Spherical functions on hyperboloids
Web18. okt 2007 · Spherical functions on hyperboloids Authors: Vladimir Fedorovich Molchanov Tambov State University named after G.R. Derzhavin Abstract Spherical (zonal) functions … Web15. jún 1997 · Spherical functions on hyperboloids Mat. Sbornik, 99 ( 1976), pp. 139 - 161 View in Scopus Google Scholar 11 Math. USSR—Sbornik, 28 ( 1976), pp. 119 - 139 12 V.F …
Spherical functions on hyperboloids
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WebMAXIMAL OPERATORS ON HYPERBOLOIDS A. EL KOHEN INTRODUCTION In a paper in 1976 [8], E. M. Stein introduced and studied the following maxi mal function: mfix) = sup I … 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.
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} } WebWe investigate properties of some spherical functions defined on hyperbolic groups using boundary representations on the Gromov boundary endowed with the Patterson–Sullivan …
WebA function u ∈ C2(Sp,q) is called a spherical harmonic1 of degree ρ if u is the restriction to S p,q of a function in H ρ . Let H ρ denote the space of spherical Webusing series expansions with either spheroidal or spherical functions have been proposed [11], [12], [13]. Unfortunately ... [0,∞) and one-sheeted hyperboloids of revolution (Fig.1, right). d/2 is the semidistance between focal points. We are interested in the modes inside a spheroid adjacent to its surface in the equatorial plane. It is ...
WebFor the hyperboloid X = G/H, where G = SO 0 ( p, q) and H = SO 0 ( p, q − 1), we define canonical representations R λ,ν λ ∈ ℂ, ν = 0, 1, as the restrictions to G of representations …
WebThe hyperboloid has the symmetry group SO (1, 4). It can be covered by various different coordinates. The time-dependent coordinate systems include all three FRW cases: closed, flat and open slicings. The closed universe map covers the whole hyperboloid (4.1) where the line element on S2 is , see Fig. 9. Sign in to download full-size image Fig. 9. bsc anatomy syllabusWeb26. mar 2014 · In the case of hyperboloids, the phase transition is still present, but as the only true fixed point is the Gaussian one, mean field exponents are valid also in … bscan2Webspherical 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 excel showing unlicensed productWebIn particular, these investigations have examined the relationship between the separation of variables for the Helmholtz equations on the four homogeneous spaces: two-dimensional sphere S 2 ,... excel showing weird dotted linesWebtypes of “spherical functions” as basis functions for irreducible representations of the Lorentz group, realized on O(3,1) hyperboloids. This turned out to be a pathbreaking article that lead to many interesting developments in the representation theory of noncompact groups and their physical applications. excel showing value errorWebThe coordinate surfaces η = const. are halves of one-sheeted hyperboloids of revolution with the same focal circle. The disk z = 0, ... If b 1 = b 2 = 0, then the function (30.13.8) is a twice-continuously differentiable solution of (30.13.7) in the entire (x, y, z)-space. bsc and an msc in eWebThe main reason for studying spherical functions is that they constitute a convenient instrument for the expansion of functions defined on the hyperboloid in terms of its … excel showing wrong date format