Peter Vang Uttenthal

activity

20232026

most citedA classification of even representations onto 3-adic SL(2)

1 citations · 1 across the 11 of their papers we have counts for

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4 papers · 1 filter

math.NT2026

Fine structure of even Galois deformation rings

Peter Vang Uttenthal

For every even Galois representation in a family of prime conductor $ℓ$ , we prove that if $k \in Z_{\geq 1}$ is maximal such that \[\ell \equiv 1 \bmod 3^k\] then the e…

math.RT2026

Positive kernels in Lie group representations and Fourier interpolation

Peter Vang Uttenthal

For a given function $f$ on a discrete subspace $Γ$ of a noncompact Riemannian symmetric space $G / K$ , we construct analytic, noncompactly supported functions $W$ on $G / K$ with $W|_…

math.FA2026

Convergent series of coherent states

Peter Vang Uttenthal

For a discrete subspace $Γ$ of a homogeneous space $X$ and a positive definite reproducing kernel Hilbert space $H (X)$ , a convergence proof is given for series of partial…

math.RT2026

Covers of Bruhat-Tits trees

Corina Ciobotaru, Peter Vang Uttenthal

Let $G$ be a locally compact group and let $G$ be a central extension that splits over a maximal compact subgroup $K$ of $G$ . We derive an explicit cocycle that lifts t…