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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 … 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.

Harmonic analysis on hyperboloids - ScienceDirect

Web1. máj 2000 · The main his tools were so called spherical distributions and decomposition of the Laplace-Beltrami operator. Also there are numerous papers of Molchanov, van Dijk, … WebInvariant subspaces of functions and the poisson transformation for hyperboloids I. I. Shitikov Siberian Mathematical Journal volume 29 , pages 476–482 ( 1988 ) Cite this article choosing life celina ohio https://remaxplantation.com

Determinantal formulas for zonal spherical functions on hyperboloids …

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 … 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 ... WebSpherical (zonal) functions on the hyperboloid -x_1^2-\ldots-x_p^2+x_{p+1}^2+\ldots+x_{p+q}^2=1 corresponding to unitary representations of the … choosing life in recovery

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Spherical functions on hyperboloids

Some spherical functions on hyperbolic groups Journal of …

Web1. apr 1973 · INTRODUCTION The theory of spherical harmonics establishes a three way equiv- alence between (a) irreducible representations of the rotation (or orthogonal) group … Web26. 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 …

Spherical functions on hyperboloids

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WebIn 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 ,... Web19. apr 2011 · Abstract The pseudospherical functions on one-sheet, two-dimensional hyperboloid are discussed. The simplest method of construction of these functions is introduced using the Fock space...

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 WebFunctional Analysis and Its Applications - Skip to main content. Advertisement

Web20. mar 2008 · Abstract: Eigenfunctions of the Laplace-Beltrami operator on a hyperboloid are studied in the spirit of the treatment of the spherical harmonics by Stein and Weiss. As a special case, a simple self-contained proof of Laplace's … Webhyperboloid is given by the equation u2 = 1 and the point $ corresponds to a point on this hyperboloid with coordinates: -b c 1 + p2 6 p 'U = c 1 - p2 ., 1 - p2 ) (7) The region p2 < 1 is mapped on the upper sheet while p2 > 1 is mapped on the lower one. We shall need the following relations.

Web10. júl 2000 · Maximal functions: Spherical means Proc. Nat. Acad. Sci. U.S.A., 73 ( 1976), pp. 2174 - 2175 CrossRef View in Scopus Google Scholar 19 E.M. Stein Harmonic Analysis, Princeton Univ. Press, Princeton ( 1993) Google Scholar 20 D. Tataru, Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation, preprint, 1997.

WebEigenfunctions of the Laplace-Beltrami operator on a hyperboloid are studied in the spirit of the treatment of the spherical harmonics by Stein and Weiss. As a special case, a simple self-contained proof of Laplace's integral for a Legendre function is obtained. Researchain - Decentralizing Knowledge great american restaurant company purchase nyWebA 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 great american reset bookWeb24. mar 2024 · A hyperboloid is a quadratic surface which may be one- or two-sheeted. The one-sheeted hyperboloid is a surface of revolution obtained by rotating a hyperbola about the perpendicular bisector to the line between the foci (Hilbert and Cohn-Vossen 1991, p. 11). A hyperboloid of one sheet is also obtained as the envelope of a cube rotated about a … great american restaurant on yarbrough