14 citations · 62 across the 39 of their papers we have counts for
43 papers
Boundedness of certain linear operators on twisted Fock spaces
Rahul Garg, Sundaram Thangavelu
On the twisted Fock spaces we consider two types of convolution operators and associated to an element $ φ\in \mathcal{…
Fourier multipliers and pseudo-differential operators on Fock-Sobolev spaces
Sundaram Thangavelu
Any bounded linear operator on gives rise to the operator on the Fock space $ \mathcal{F}(\C^n) $ where is the Bargm…
On heat equations associated with fractional harmonic oscillators
Divyang G. Bhimani, Ramesh Manna, Fabio Nicola +2
We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat propagator , , associated with the harmonic oscillator . We…
A scalar valued Fourier transform for the Heisenberg group
Sundaram Thangavelu
We define a scalar valued Fourier transform for functions on the Heisenberg group and establish some of its basic properties like inversion formula, Plancherel theorem and Riemann-…
Poisson transform and unipotent complex geometry
Heiko Gimperlein, Bernhard Krötz, Luz Roncal +1
Our concern is with Riemannian symmetric spaces of the non-compact type and more precisely with the Poisson transform which maps generalized functions on th…
An analogue of Ingham's theorem on the Heisenberg group
Sayan Bagchi, Pritam Ganguly, Jayanta Sarkar +1
We prove an exact analogue of Ingham's uncertainty principle for the group Fourier transform on the Heisenberg group. This is accomplished by explicitly constructing compactly supp…