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# First Occurrence for the Dual Pairs $\bigl(U(p,q),U(r,s)\bigr)$

Published:1999-06-01
Printed: Jun 1999
• Annegret Paul
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## Abstract

We prove a conjecture of Kudla and Rallis about the first occurrence in the theta correspondence, for dual pairs of the form $\bigl(U(p,q),U(r,s)\bigr)$ and most representations.
 MSC Classifications: 22E46 - Semisimple Lie groups and their representations