5 citations · 9 across the 6 of their papers we have counts for
6 papers
Kohnen--Ueda local newforms
Hiroshi Ishimoto
We give a local newform theory for the metaplectic group of rank 1 over a non-archimedean local field of characteristic 0 with odd residual characteristic. It was suggested by some…
Conductors and local newforms for the metaplectic group of rank 1
Hiroshi Ishimoto
In an earlier paper of W. Casselman, the theory of local newforms and conductors was initiated. Later, Roberts and Schmidt studied local newforms for the metaplectic group of rank…
Ibukiyama correspondences on automorphic forms on and generating large discrete series representations at the real place
Hiroshi Ishimoto
In our previous paper we gave proofs of Ibukiyama's correspondences on holomorphic Siegel modular forms of degree 2 of half-integral weight and integral weight. In this paper, we f…
The endoscopic classification of representations of non-quasi-split odd special orthogonal groups
Hiroshi Ishimoto
In an earlier book of Arthur, the endoscopic classification of representations of quasi-split orthogonal and symplectic groups was established. Later Mok gave that of quasi-split u…
Proofs of Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2
Hiroshi Ishimoto
We prove Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2 by using Arthur's multiplicity formula on the split odd special orthogonal group $\…
Local intertwining relation for metaplectic groups
Hiroshi Ishimoto
In this paper, we formulate and prove a local intertwining relation for metaplectic groups assuming the local intertwining relation for non-quasi-split odd special orthogonal group…