25 citations · 95 across the 28 of their papers we have counts for
4 papers · 1 filter
Local integrability results in harmonic analysis on reductive groups in large positive characteristic
Raf Cluckers, Julia Gordon, Immanuel Halupczok
Let be a connected reductive algebraic group over a non-Archimedean local field , and let be its Lie algebra. By a theorem of Harish-Chandra, if has characteristic z…
Integrability of oscillatory functions on local fields: transfer principles
Raf Cluckers, Julia Gordon, Immanuel Halupczok
For oscillatory functions on local fields coming from motivic exponential functions, we show that integrability over implies integrability over for large ,…
Quantifier elimination in ordered abelian groups
Raf Cluckers, Immanuel Halupczok
We give a new proof of quantifier elimination in the theory of all ordered abelian groups in a suitable language. More precisely, this is only "quantifier elimination relative to o…
Non-Archimedean Whitney stratifications
Immanuel Halupczok
We define "t-stratifications", a strong notion of stratifications for Henselian valued fields of equi-characteristic 0, and prove that they exist. In contrast to classical stra…