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It is shown, non–rigorously, that the effective action on Z q– factored odd spheres (lunes) has a vanishing derivative at q = 1. This leaves the effective action on the ordinary sphere as (minus) the ...
Radon Transform on spheres and generalized Bessel function associated with dihedral groups
Radon Transform spheres generalized Bessel function associated dihedral groups
2010/12/14
Abstract. Motivated by Dunkl operators theory, we consider a generating series involving a modified Bessel function and a Gegenbauer polynomial, that generalizes a known series already conside...
A Nontrivial Product of Filtration $s+5$ in the Stable Homotopy Groups of Spheres (LL)
Stable homotopy of spheres Adams spectral sequence Toda--Smith spectrum May spectral sequence
2007/12/11
In this paper, some groups ${\rm Ext}_A^{s,t}(Z_p,Z_p)$ with specialized $s$ and $t$ are first computed by the May spectral sequence. Then we make use of the Adams spectral sequence to prove the exist...