多变量的正交多项式

ThestudyoforthogonalpolynomialsofseveralvariablesgoesbackatleastasfarasHermite.Therehavebeenonlyafewbooksonthesubjectsince:AppellanddeFeriet[1926]andErdelyietal.[1953].Twenty-fiveyearshavegonebysinceKoornwinder'ssurveyarticle[1975].Anumberofindividualswhoneedtechniquesfromthistopichaveapproachedusandsuggested(evenasked)thatwewriteabookaccessibletoageneralmathematicalaudience.Itisourgoaltopresentthedevelopmentsofveryrecentresearchtoareadershiptrainedinclassicalanalysis.Weincludeappliedmathematiciansandphysicists,andevenchemistsandmathematicalbiologists,inthiscategory.