12 citations · 33 across the 14 of their papers we have counts for
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Decomposition of phase space and classification of Heisenberg groups
Amritanshu Prasad, M. K. Vemuri
Is every locally compact abelian group which admits a Heisenberg central extension isomorphic to the product of a locally compact abelian group and its Pontryagin dual? An affirmat…
A non-commutative Sobolev estimate and its application to spectral synthesis
M. K. Vemuri
In [M. K. Vemuri, Realizations of the canonical representation], it was shown that the spectral synthesis problem for the Alpha transform is closely related to the problem of class…
Eigenfunctions of the Laplace-Beltrami Operator on Hyperboloids
Amritanshu Prasad, M. K. Vemuri
Eigenfunctions of the Laplace-Beltrami operator on a hyperboloid are studied in the spirit of the treatment of the spherical harmonics by Stein and Weiss. As a special case, a simp…
Inductive Algebras for Finite Heisenberg Groups
Amritanshu Prasad, M. K. Vemuri
A characterization of the maximal abelian sub-algebras of matrix algebras that are normalized by the canonical representation of a finite Heisenberg group is given. Examples are co…
Hermite expansions and Hardy's theorem
M. K. Vemuri
Assuming that both a function and its Fourier transform are dominated by a Gaussian of large variance, it is shown that the Hermite coefficients of the function decay exponentially…