Special representations of rank one orthogonal groups

Ilya I. Piatetski-Shapiro, David Soudry

Research output: Contribution to journalArticlepeer-review


We study the image of the theta correspondence from {Mathematical expression} to a rank one orthogonal group (over a number field). The image consists of cusp forms, the Fourier coefficients of which satisfy a certain invariance property. We show that this property characterizes the image. The proof requires first an analogous local statement (almost everywhere) and then a use of certain Rankin-Selberg integrals.

Original languageEnglish
Pages (from-to)276-314
Number of pages39
JournalIsrael Journal of Mathematics
Issue number3
StatePublished - Dec 1988


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