110 citations · 425 across the 34 of their papers we have counts for
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On Fréchet-Hilbert Algebras
M. Mantoiu, R. Purice
We consider Hilbert algebras with a supplementary Fréchet topology and get various extensions of the algebraic structure by using duality techniques. In particular we obtain optima…
Abstract composition laws and their modulation spaces
Marius Mantoiu, Radu Purice
On classes of functions defined on R^2n we introduce abstract composition laws modelled after the pseudodifferential product of symbols. We attach to these composition laws modulat…
On the continuity of spectra for families of magnetic pseudodifferential operators
Nassim Athmouni, Marius Mantoiu, Radu Purice
For families of magnetic pseudodifferential operators defined by symbols and magnetic fields depending continuously on a real parameter , we show that the corresponding family o…
The Modulation Mapping for Magnetic Symbols and Operators
Marius Mantoiu, Radu Purice
We extend the Bargmann transform to the magnetic pseudodifferential calculus, using gauge-covariant families of coherent states. We also introduce modulation mappings, a first step…