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math.FA2022★ 1 cited
Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices
Jan van Neerven, Pierre Portal, Himani Sharma
We consider operators acting on a UMD Banach lattice that have the same algebraic structure as the position and momentum operators associated with the harmonic oscillator $-\fr…
math.FA2020
Bounds on the Phillips calculus of abstract first order differential operators
Himani Sharma
For an operator generating a group on spaces transference results give bounds on the Phillips functional calculus also known as spectral multiplier estimates. In this paper w…