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math.FA2025
Modulation spaces on the Heisenberg group
Md Hasan Ali Biswas, Sundaram Thangavelu
In this article we show how certain irreducible unitary representation of the twisted Heisenberg group $ \He_λ^n(\C)$ leads to the twisted modulation spaces $ M_λ^{p,q}(\R^{…
math.FA2023★ 1 cited
Algebras of entire functions and representations of the twisted Heisenberg group
Sundaram Thangavelu
On the twisted Fock spaces $ \mathcal{F}^λ(\C^{2n}) $ we consider a family of unitary operators indexed by $ (a,b) \in \C^n \times \C^n.$ The composition formula for $…
math.FA2011
A characterisation of the Fourier transform on the Heisenberg group
R. Lakshmi Lavanya, S. Thangavelu
The aim of this paper is to show that any continuous *-homomorphism of L1(Cn)(with twisted convolution as multipli- cation) into B(L2(Rn)) is essentially a Weyl transform. From thi…