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math.FA2026
Some results about spaceability in function spaces
Andreas Debrouwere
We investigate two problems concerning spaceability in function spaces. First, we study the spaceability of sets of nowhere regular periodic functions, for various notions of regul…
math.FA2026
Riesz summability of Dirichlet series generating holomorphic functions of finite order
Andreas Debrouwere, Yarne Tranoy
Given a frequency , we study the Riesz summability of -Dirichlet series generating holomorphic functions of finite order. We present a new…
math.RT2026
Strong factorization theorem for smooth vectors of exponential solvable Lie group representations
Santiago Chaves, Andreas Debrouwere, Alberto Hernández Alvarado +2
We establish new strong factorization properties for the smooth vectors of representations of exponential solvable Lie groups on Fréchet spaces. In particular, our results improve…