Add to ORKGAbstract. We consider a reductive dual pair (G,G′) in the stable range with G ′ the smaller member and of Hermitian symmetric type. We study the theta lifting of (holo-morphic) nilpotent K ′C-orbits in relation to the theta lifting of unitary lowest weight representations of G′. We determine the associated cycles of all such representations. In particular, we prove that the multiplicity in the associated cycle is preserved under the theta lifting. We also develop a theory for the lifting of covariants arising from double fibrations by affine quotient maps
Let (G,G\u27) denote a dual reductive pair consisting of two unitary groups over a nonarchimedean lo...
We use the theta lift to study the multiplicity with which certain automorphic representations of co...
Abstract. In this paper we are interested in the geometric local theta correspondence at the Iwahori...
Abstract. We consider a reductive dual pair (G,G′) in the stable range with G ′ the smaller member a...
A global theta lifting of some irreducible type 2 dual reductive pair is studied. It is proved that ...
Thesis advisor: Solomon FriedbergWe study the generalized theta lifting between the double covers of...
Abstract. Let be a unitary highest weight module of a reductive Lie group G, and (G;G0) a reductive...
The theta correspondence has been an important tool in the theory of automorphic forms with plentifu...
AbstractTheta correspondence θ over R is established by Howe (J. Amer. Math. Soc. 2 (1989) 535). In ...
In this paper, we give an explicit determination of the non-vanishing of the theta liftings of tempe...
T. Arakawa, in his unpublished note, constructed and studied a theta lifting from elliptic cusp form...
This thesis mainly comprises two parts. Both parts are related with Howe's dual reductive pair theor...
Abstract. We introduce a regularized theta lift for reductive dual pairs of the form (Sp4, O(V)) wit...
Abstract. — We prove that the global geometric theta-lifting functor for the dual pair (H,G) is comp...
In this thesis, the author reproves the result obtained by Moen, using a different model, lattice mo...
Let (G,G\u27) denote a dual reductive pair consisting of two unitary groups over a nonarchimedean lo...
We use the theta lift to study the multiplicity with which certain automorphic representations of co...
Abstract. In this paper we are interested in the geometric local theta correspondence at the Iwahori...
Abstract. We consider a reductive dual pair (G,G′) in the stable range with G ′ the smaller member a...
A global theta lifting of some irreducible type 2 dual reductive pair is studied. It is proved that ...
Thesis advisor: Solomon FriedbergWe study the generalized theta lifting between the double covers of...
Abstract. Let be a unitary highest weight module of a reductive Lie group G, and (G;G0) a reductive...
The theta correspondence has been an important tool in the theory of automorphic forms with plentifu...
AbstractTheta correspondence θ over R is established by Howe (J. Amer. Math. Soc. 2 (1989) 535). In ...
In this paper, we give an explicit determination of the non-vanishing of the theta liftings of tempe...
T. Arakawa, in his unpublished note, constructed and studied a theta lifting from elliptic cusp form...
This thesis mainly comprises two parts. Both parts are related with Howe's dual reductive pair theor...
Abstract. We introduce a regularized theta lift for reductive dual pairs of the form (Sp4, O(V)) wit...
Abstract. — We prove that the global geometric theta-lifting functor for the dual pair (H,G) is comp...
In this thesis, the author reproves the result obtained by Moen, using a different model, lattice mo...
Let (G,G\u27) denote a dual reductive pair consisting of two unitary groups over a nonarchimedean lo...
We use the theta lift to study the multiplicity with which certain automorphic representations of co...
Abstract. In this paper we are interested in the geometric local theta correspondence at the Iwahori...