Geodesic
Bohman extremal problem for the Dunkl transform
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 115-123

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We give a solution of the Bohman extremal problem for nonnegative functions with the support of the Dunkl transform in a Euclidean ball or parallelepiped. The proof uses the invariance of the problem under orthogonal transforms and quadrature formulas with zeros of Bessel functions.
Keywords: root system, reflection group, Dunkl weight, Dunkl transform, Bohman extremal problem
Mots-clés : Bessel quadrature formula. 
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     author = {D. V. Gorbachev and V. I. Ivanov},
     title = {Bohman extremal problem for the {Dunkl} transform},
     journal = {Trudy Instituta matematiki i mehaniki},
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     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a11/}
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D. V. Gorbachev; V. I. Ivanov. Bohman extremal problem for the Dunkl transform. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 115-123. http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a11/