Ref HAL: hal-00300681_v1
Ref Arxiv: math-ph/0407021
DOI: 10.1088/0305-4470/37/47/007
WoS: 000225664800008
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
Résumé:

A class of singular integral operators, encompassing two physically relevant cases arising in perturbative QCD and in classical fluid dynamics, is presented and analyzed. It is shown that three special values of the parameters allow for an exact eigenfunction expansion; thses can be associated to Riemannian symmetric spaces of rank one with positive, negative or vanishing curvature. For all other cases an accurate semiclassical approximation is derived, based on the identification of the operators with a peculiar Schroedinger-like operator.