In this book, the authors establish global Rankin Selberg integrals which determine the standard [italic capital]L function for the group [italic capitals]GL[subscript italic]r x [italic capital]Gʹ, where [italic capital]Gʹ is an isometry group of a nondegenerate symmetric form.…
Starting with Green's functions on adele points of GL(2) GL(2) considered over a totally real number field, we elaborate an explicit version of the relative trace formula, whose spectral side encodes the informaton on period integrals of cuspidal waveforms along a maximal split …
This paper consists of two parts. The first part is concerned with the basic properties of [italic capital]H[superscript italic]p spaces of a circular annulus, and is function theoretic in character. The second part is an investigation of the invariant subspaces of certain Hilbe…