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math.FA2024
Compact embeddings and Pitt's property for weighted sequence spaces of Sobolev type
Pierre-A. Vuillermot
In this article we introduce a new class of weighted sequence spaces of Sobolev type and prove several compact embedding theorems for them. It is our contention that the chosen cla…
math-ph2024
On the relaxation to equilibrium of a quantum oscillator interacting with a radiation field
Pierre-A. Vuillermot
In this article we investigate from the point of view of spectral theory the problem of relaxation to thermodynamical equilibrium of a quantum harmonic oscillator interacting with…