دانلود کتاب Rankin-Selberg Convolutions for So2L+1 X Gln: Local Theory

This work studies the local theory for certain Rankin-Selberg convolutions for the standard function of degree of generic representations of over a local field. The local integrals converge in a half-plane and continue meromorphically to the whole plane. One main result is the existence of local gamma and factors. The gamma factor is obtained as a proportionality factor of a functional equation satisfied by the local integrals. In addition, Soudry establishes the multiplicativity of the gamma factor (first variable). A special case of this result yields the unramified computation and involves a new idea not presented before. This presentation, which contains detailed proofs of the results, is useful to specialists in automorphic forms, representation theory, and functions, as well as to those in other areas who wish to apply these results or use them in other cases.