Conservation relations for local theta correspondence

Abstract

We prove Kudla-Rallis conjecture on first occurrences of local theta correspondence, for all type I irreducible dual pairs and all local fields of characteristic zero.

To appear in J. Amer. Math.Soc

References in corpus (4)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Degenerate principal series of metaplectic groups and Howe correspondence
• Almost linear Nash groups
• MVW-extensions of real quaternionic classical groups

Cited by in corpus (3)

• Degenerate principal series of metaplectic groups and Howe correspondence
• Vanishing of quasi-invariant generalized functions
• Generalized Shalika model on ${\mathrm{SO}}_{4n}(F),$ symplectic linear model on ${\mathrm{Sp}}_{4n}(F)$ and theta correspondence