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Equivalence of two series of spherical representations of a free group
The spherical principal series of a non-commutative free group may be analytically continued to yield a series of uniformly bounded representations, much as the spherical representations π_{(1/2)+ it} of SL(2, R) may be analytically continued in the ...
Anna Maria Mantero, Ryszard Szwarc
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Irreducibility of standard representations for Iwahori-spherical representations
Mathematische Annalen, 1998In the paper is given a generalization to the p-adic case of an important result of D. Vogan from the real case.
Muić, Goran, Shahidi, Freydoon
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Discrete mixture representations of spherical distributions
We obtain discrete mixture representations for parametric families of probability distributions on Euclidean spheres, such as the von Mises–Fisher, the Watson and the angular Gaussian families.
Ludwig Baringhaus, Rudolf Grübel
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Supports of irreducible spherical representations of rational Cherednik algebras of finite Coxeter groups [PDF]
In this paper we determine the support of the irreducible spherical representation (i.e., the irreducible quotient of the polynomial representation) of the rational Cherednik algebra of a finite Coxeter group for any value of the parameter c.
Pavel Étingof
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Structure of internal modules and a formula for the spherical vector of minimal representations
We develop a formula for the spherical vector of minimal representations of simply laced Chevalley ...
Woodbury, Michael, Savin, Gordan
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A spherical representation for the recognition of curved objects
1993 (4th) International Conference on Computer Vision, 2002no ...
Delingette, Hervé +2 more
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Representations, convolution square roots and spherical vectors
We extend results on square integrable representations of a locally compact group to subrepresentations of a representations induced from a character of a closed subgroup.
Henrik Stetkær
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Spherical representations of the jacobi group
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1998Let \(G^J\) be the Jacobi group over a \(p\)-adic field. The author continues the earlier work (with \textit{R. Berndt}) [Elements of the representation theory of the Jacobi group. Progress in Mathematics 163, Birkhäuser, Basel (1998; Zbl 0931.11013)] and determines spherical vectors for admissible \(G^J\)-representations by explicit calculations in ...
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Multiscale Representation and Analysis of Spherical Data by Spherical Wavelets
SIAM Journal on Scientific Computing, 1999Summary: Classic wavelet methods were developed in the Euclidean spaces for multiscale representation and analysis of regularly sampled signals (time series) and images. This paper introduces a method of representing scattered spherical data by multiscale spherical wavelets. The method extends the recent pioneering work of \textit{F. J. Narcowich} and \
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Spherical Representations: From EGI to SAI.
1995One of the fundamental problems in representing a curved surface is how to define an intrinsic, i.e., viewer independent, coordinate system over the surface. More precisely, in order to establish point matching between model and observed feature distributions over curved surfaces, we need to set up a coordinate system that maps a point on a curved ...
Katsushi Ikeuchi, Martial Hebert
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