Computation of the metaplectic kernel
نویسندگان
چکیده
منابع مشابه
Fast Computation of Kernel Estimators
The computational complexity of evaluating the kernel density estimate (or its derivatives) at m evaluation points given n sample points scales quadratically as O(nm)–making it prohibitively expensive for large data sets. While approximate methods like binning could speed up the computation they lack a precise control over the accuracy of the approximation. There is no straightforward way of ch...
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We study spherical Whittaker functions on a metaplectic cover of GL(r + 1) over a nonarchimedean local field using lattice models from statistical mechanics. An explicit description of this Whittaker function was given in terms of Gelfand-Tsetlin patterns in [5, 17], and we translate this description into an expression of the values of the Whittaker function as partition functions of a sixverte...
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The subject of this thesis is the theory of nonholomorphic modular forms of non-integral weight, and its applications to arithmetical functions involving Dedekind sums and Kloosterman sums. As was discovered by Andre Weil, automorphic forms of non-integral weight correspond to invariant funtions on Metaplectic groups. We thus give an explicit description of Meptaplectic groups corresponding to ...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 1996
ISSN: 0073-8301,1618-1913
DOI: 10.1007/bf02698836