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
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