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math.OA2023
A note on free divergence-free vector fields
Hyuga Ito, Akihiro Miyagawa
We exhibit an orthonormal basis of cyclic gradients and a (non-orthogonal) basis of the homogeneous free divergence-free vector field on the full Fock space and determine the dimen…
math.OA2023
A short note on strong convergence of -Gaussians
Akihiro Miyagawa
In this note, we prove strong convergence of -Gaussians with respect to a parameter , which implies the spectrum of any self-adjoint non-commutative polynomial in -Gaussia…