5 citations · 9 across the 16 of their papers we have counts for
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Hypergeometric functions of type and standard multiplicities
E. K. Narayanan, A. Pasquale
We study the Heckman-Opdam hypergeometric functions associated to a root system of type and a multiplicity function which is allowed to assume some non-positive values (a stan…
On Projective Representations of Finitely Generated Groups
Sumana Hatui, E. K. Narayanan, Pooja Singla
We prove a characterization of monomial projective representations of finitely generated nilpotent groups. We also characterize polycyclic groups whose projective representations a…
Differential operators, radial parts and a one-parameter family of hypergeometric functions of type BC
E. K. Narayanan, A. Pasquale
We introduce the symmetric (respectively, non-symmetric) hypergeometric functions associated with a root system of type as joint eigenfunctions of a commutative al…
On characterization of monomial representations of discrete supersolvable groups
E. K. Narayanan, Pooja Singla
We prove that an abstract (possibly infinite dimensional) complex irreducible representation of a discrete supersolvable group is monomial if and only if it has finite weight. We a…
On monomial representations of finitely generated nilpotent groups
E. K. Narayanan, Pooja Singla
A result of D. Segal states that every complex irreducible representation of a finitely generated nilpotent group is monomial if and only if is abelian-by-finite. A conject…
Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
E. K. Narayanan, A. Pasquale, S. Pusti
A series expansion for Heckman-Opdam hypergeometric functions is obtained for all As a consequence, estimates for away from the walls…