Inclusion Theorems for the Moyal Multiplier Algebras of Generalized Gelfand–Shilov Spaces
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DOI: 10.1007/s00020-021-02664-2
Abstract: We prove that the Moyal multiplier algebras of the generalized Gelfand-Shilov spaces of type $S$ contain Palamodov spaces of type $\mathcal E$ and the inclusion maps are continuous. We also give a direct proof that… read more here.
Keywords: moyal multiplier; multiplier algebras; gelfand shilov; generalized gelfand ... See more keywords
The Gelfand–Shilov Type Estimate for Green’s Function of the Bounded Solutions Problem
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DOI: 10.1007/s12346-017-0262-z
Abstract: An analogue of the Gelfand–Shilov estimate of the matrix exponential is proved for Green’s function of the problem of bounded solutions of the ordinary differential equation $$x'(t)-Ax(t)=f(t)$$x′(t)-Ax(t)=f(t). read more here.
Keywords: bounded solutions; gelfand shilov; green function; estimate ... See more keywords
The Gelfand–Shilov smoothing effect for the radially symmetric homogeneous Landau equation with Shubin initial datum
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DOI: 10.1016/j.crma.2018.04.022
Abstract: Abstract In this paper, we study the Cauchy problem associated with the radially symmetric spatially homogeneous non-cutoff Landau equation with Maxwellian molecules, while the initial datum belongs to negative-index Shubin space, which can be characterized… read more here.
Keywords: smoothing effect; gelfand shilov; radially symmetric; initial datum ... See more keywords