Newforms of half-integral weight and the twisting operators
Using his result of trace relations of the twisting operators on the space of cusp forms of half-integral weight \(S(k+1/2,N,\chi)\) and on the Kohnen subspace \(S(k+1/2,N,\chi)_ k\) (see the preceding review), the author decomposes the spaces \(S(k+1/2,N,\chi)\) and \(S(k+1/2,N,\chi)_ k\) into subspace of ``newforms'' which correspond in one to one way to a system of eigenvalues for Hecke operators. The details will appear elsewhere.
scientific article; zbMATH DE number 4198087