8 citations · 29 across the 18 of their papers we have counts for
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Quaternion Weyl Transform and some uniqueness results
Rupak Kumar Dalai, Somnath Ghosh, R. K. Srivastava
In this article, we study the boundedness and several properties of the quaternion Wigner transform. Using the quaternion Wigner transform as a tool, we define the quaternion Weyl…
Injectivity of spherical mean on Métivier Group
Rupak Kumar Dalai, R. K. Srivastava
In this article, we study the injectivity of the spherical mean for continuous functions on the Métivier group. The spherical mean is injective for $f(z, .)\in L^p(\mathbb{R}^m),~1…
Spherical means on Métivier groups and support theorem
Rupak Kumar Dalai, Somnath Ghosh, R. K. Srivastava
Let be the space of continuous functions on the annulus in whose -twisted spherical mean, in the set up of the Métivier group, vanishes over…
Unbounded Weyl transform on the Euclidean motion group and Heisenberg motion group
Somnath Ghosh, R. K. Srivastava
In this article, we define Weyl transform on second countable type - locally compact group and as an operator on we prove that the Weyl transform is compact when…
Benedicks-Amrein-Berthier theorem for the Heisenberg motion group and quaternion Heisenberg group
Somnath Ghosh, R. K. Srivastava
Since is a Gelfand pair, an exact analogue of the Heisenberg group result due to Narayanan and Ratnakumar is not possible for the Heisenberg motio…
Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group
Somnath Ghosh, R. K. Srivastava
In this article, we prove that (unit sphere, non-harmonic cone) is a Heisenberg uniqueness pair for the symplectic Fourier transform on We derive that spheres as wel…
Uniqueness of the Fourier transform on the Euclidean motion group
A. Chattopadhyay, D. K. Giri, R. K. Srivastava
In this article, we prove that if the Fourier transform of a certain integrable function on the Euclidean motion group is of finite rank, then the function has to vanish identicall…
Uniqueness of the group Fourier transform on certain nilpotent Lie groups
A. Chattopadhyay, D. K. Giri, R. K. Srivastava
In this article, we prove that if the group Fourier transform of certain integrable functions on the Heisenberg motion group (or step two nilpotent Lie groups) is of finite rank, t…
Non-harmonic cones are sets of injectivity for the twisted spherical means on
R. K. Srivastava
In this article, we prove that a complex cone is a set of injectivity for the twisted spherical means for the class of all continuous functions on as long as it does…
Real analytic expansion of spectral projection and extension of Hecke-Bochner identity
R. K. Srivastava
In this article, we review the Weyl correspondence of bigraded spherical harmonics and use it to extend the Hecke-Bochner identities for the spectral projections …
Coxeter system of planes are sets of injectivity for the twisted spherical means on
R. K. Srivastava
In this article, we prove that any pair of perpendicular planes is a set of injectivity for the twisted spherical means (TSM) for with T…
Coxeter system of lines are sets of injectivity for the twisted spherical means on
R. K. Srivastava
It is well known that a line in is not a set of injectivity for the spherical means for odd functions about that line. We prove that any line passing through the orig…
Sets of injectivity for weighted twisted spherical means and support theorems
R. K. Srivastava
In this article, we show that the spheres are sets of injectivity for the weighted twisted spherical means (WTSM) for a suitable class of functi…
Spherical means in annular regions in the -dimensional real hyperbolic spaces
Rama Rawat, R. K. Srivastava
Let be the class of all continuous functions on the annulus $\Ann(r,R)$ in the real hyperbolic space with spherical means , whenever an…
Twisted spherical means in annular regions in and support theorems
Rama Rawat, R. K. Srivastava
Let be the class of all continuous functions on the annulus in with twisted spherical mean whenever $z\in \mathbb C^…