1 citations · 1 across the 6 of their papers we have counts for
6 papers
Pointwise convergence to initial data of heat and Hermite-heat equations in Modulation Spaces
Divyang G. Bhimani, Rupak K. Dalai
We characterize weighted modulation spaces (data space) for which the heat semigroup converges pointwise to the initial data as time tends to zero. Here stan…
A unified framework for pointwise convergence to the initial data of heat equations in metric measure spaces
Divyang G. Bhimani, Anup Biswas, Rupak K. Dalai
Given a metric measure space satisfying the volume doubling condition, we consider a semigroup and the associated heat operator. We propose general…
Pointwise convergence for the heat equation on tori and waveguide manifold
Divyang G. Bhimani, Rupak K. Dalai
We completely characterize the weighted Lebesgue spaces on the torus and waveguide manifold for which the solutions of the heat equat…
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…