Geodesic
Bohman extremal problem for the Jacobi transform
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 126-135

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We give a solution to the Bohman extremal problem for nonnegative even entire functions of exponential type that are Jacobi transforms of compactly supported functions. We prove that the extremal function is unique. The Gauss quadrature formula on the half-line over zeros of the Jacobi function is used.
Keywords: hyperbolic weight, Jacobi function, Bohman extremal problem
Mots-clés : Jacobi transform, Gauss quadrature formulae. 
@article{TIMM_2016_22_4_a12,
     author = {D. V. Gorbachev and V. I. Ivanov},
     title = {Bohman extremal problem for the {Jacobi} transform},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {126--135},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a12/}
}
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D. V. Gorbachev; V. I. Ivanov. Bohman extremal problem for the Jacobi transform. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 126-135. http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a12/