3 citations · 7 across the 4 of their papers we have counts for
4 papers
Lp estimates for the wave equation associated to the Grushin operator
K. Jotsaroop, S. Thangavelu
We prove that the solution of the wave equation as- sociated to the Grushin operator is bounded on , when $|1/p- 1/2 |…
Revisiting Riesz transforms on Heisenberg groups
P. K. Sanjay, S. Thangavelu
We characterise higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. Using transfe…
Riesz transforms and multipliers for the Grushin operator
K. Jotsaroop, P. K. Sanjay, S. Thangavelu
We show that Riesz transforms associated to the Grushin operator G = -Δ- |x|^2\partial_t^2 are bounded on L^p(R^n+1). We also establish an analogue of Hörmander-Mihlin multiplier t…
Holomorphic Sobolev spaces, Hermite ans special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform
R. Radha, S. Thangavelu
The images of Hermite and Laguerre Sobolev spaces under the Hermite and special Hermite semigroups (respectively) are characterised. These are used to characterise the Schwartz cla…