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math.FA2025
Weighted symbol spaces, magnetic translations, and pseudodifferential operators
Michael Hitrik, Reid Johnson
We study pseudodifferential operators associated to microlocally defined normed symbol spaces of limited regularity, introduced by J. Sjöstrand. Boundedness of such operators on mo…
math.SP2025
Weyl laws for exponentially small singular values of the operator
Michael Hitrik, Johannes Sjöstrand, Martin Vogel
We study the number of exponentially small singular values of the semiclassical operator on exponentially weighted spaces on a compact Riemann surface.…