نتایج جستجو برای: generalized helgason
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We prove that in infinite dimensions, if a bounded continuous function has zero Gaussian integral over all hyperplanes outside a closed bounded convex set then the function is zero outside this set. This is an infinite-dimensional form of the well-known Helgason support theorem for Radon transforms in finite dimensions.
In this paper we extend classical Titchmarsh theorems on the Fourier–Helgason transform of Lipschitz functions to setting L p -space Damek–Ricci spaces. As consequences, quantitative Riemann–Lebesgue estimates are obtained and an integrability result for is developed extending ideas used by in one dimensional setting.
Thorsteinn Bjornsson, Rosa B. Thorolfsdottir, Gardar Sveinbjornsson, Patrick Sulem, Gudmundur L. Norddahl, Anna Helgadottir, Solveig Gretarsdottir, Audur Magnusdottir, Ragnar Danielsen, Emil L. Sigurdsson, Berglind Adalsteinsdottir, Sverrir I. Gunnarsson, Ingileif Jonsdottir, David O. Arnar, Hrodmar Helgason, Tomas Gudbjartsson, Daniel F. Gudbjartsson, Unnur Thorsteinsdottir, Hilma Holm, Kari S...
Helgason et al. (Reports, 8 February 2008, p. 813) reported a positive association between kinship and fertility in the Icelandic population. We point out that the data further suggest that fertility initially increases with kinship and then decays. This is supported by another large study on the Danish population suggesting a superposition of effects of inbreeding and outbreeding depression on...
Using the sharpened Helgason–Johnson bound, this paper classifies all irreducible unitary representations with non-zero Dirac cohomology of E7(−5). As an application, we find that cancellation between even part and odd continues to happen for certain Assuming infinitesimal character being integral, further improve bound This should help people understand (part of) dual group.
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