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math.FA2026
Pego theorem for Hilbert space-valued functions on compact groups
Anaté Kodjovi Lakmon, Yaogan Mensah
We prove a Hilbert space-valued analogue of Pego's compactness theorem on compact groups. For square-integrable functions taking values in a Hilbert space rather than in the comple…
math.FA2025
On quantum Sobolev spaces consisting of Hilbert-Schmidt operators
Anaté K. Lakmon, Yaogan Mensah
In the present paper, we study quantum Sobolev spaces whose elements are operators of the Hilbert-Schmidt class. We construct these Sobolev spaces from the Fourier transform for op…