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On a theorem of Chernoff on rank one Riemannian symmetric spaces
Pritam Ganguly, Ramesh Manna, Sundaram Thangavelu
In 1975, P.R. Chernoff used iterates of the Laplacian on to prove an version of the Denjoy-Carleman theorem which provides a sufficient condition for a smooth…
Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type
Joachim Toft, Divyang Bhimani, Ramesh Manna
We deduce trace properties for modulation spaces of Gelfand-Shilov distributions. We use these properties to show that pseudo-differential operators with amplitudes in suitable mod…
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness
Divyang G. Bhimani, Ramesh Manna, Fabio Nicola +2
We study the Hermite operator in and its fractional powers , in phase space. Namely, we represent functions via the so-called short-time…
Translation and modulation invariant Hilbert spaces
Joachim Toft, Anupam Gumber, Ramesh Manna +1
We show that for any Hilbert space of distributions on which is translation and modulation invariant, is equal to , with the same norm apart from…