Niraj K. Shukla

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math.FA2023

A characterization of MG Dual frames using infimum cosine angle

Sudipta Sarkar, Niraj K. Shukla

This article discusses the construction of dual frames and their uniqueness for the multiplication generated frames on $L^{2} (X; H)$ , where $X$ is a $σ$ -finite measure. A ne…

math.FA2023

Reproducing formulas associated to translation generated systems on Nilpotent Lie Groups

Sudipta Sarkar, Niraj K. Shukla

Let $G$ be a connected, simply connected, nilpotent Lie group whose irreducible unitary representations are square-integrable modulo the center. We obtain characterization results…

math.FA2022

Characterizations of Extra-invariant spaces under the left translations on a Lie group

Sudipta Sarkar, Niraj K. Shukla

In the context of a connected, simply connected, nilpotent Lie group, whose representations are square-integrable modulo the center, we find characterization results of extra-invar…