9 citations · 10 across the 6 of their papers we have counts for
6 papers
Gabor System Based on the Unitary Dual of the Heisenberg Group
S. R. Das, R. Radha
In this paper Gabor system of certain type based on the unitary dual of the Heisenberg group is introduced and a sufficient condition is obtained for the Gabor syste…
Sampling theorem and reconstruction formula for the space of translates on the Heisenberg group
S. Arati, R. Radha
The paper deals with the necessary and sufficient conditions for obtaining reconstruction formulae and sampling theorems for every function belonging to the principal shift invaria…
Left Translates of a Square Integrable Function on the Heisenberg group
R. Radha, Saswata Adhikari
The aim of this paper is to study some properties of left translates of a square integrable function on the Heisenberg group. First, a necessary and sufficient condition for the ex…
Shift-invariant Spaces with Countably Many Mutually Orthogonal Generators on the Heisenberg group
R. Radha, Saswata Adhikari
Let denote the shift-invariant space associated with a countable family of functions in with mutually orthogonal generators,…
Separation of zeros and a Hermite interpolation based frame algorithm for band limited functions
A. Antony Selvan, R. Radha
It is shown that if a non-zero function has infinitely many double zeros on the real axis, then there exists at least one pair of consecutive zeros whose distance apart…
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…