520 citations · 975 across the 37 of their papers we have counts for
39 papers
The spherical Whittaker Inversion Theorem and the quantum non-periodic Toda Lattice
Nolan R. Wallach
In this paper the spherical case of the Whittaker Inversion Theorem is given a relatively self-contained proof. This special case can be used as a help in deciphering the handling…
On a question related to a basic convergence theorem of Harish-Chandra
Nolan R. Wallach
In his first 1958 paper on zonal spherical functions Harish-Chandra proved an extremely delicate convergence theorem which was basic to his subsequent definition of his Schwartz sp…
Harmonic differential forms for pseudo-reflection groups II. Bi-degree bounds
Joshua P. Swanson, Nolan R. Wallach
This paper studies three results that describe the structure of the super-coinvariant algebra of pseudo-reflection groups over a field of characteristic . Our most general resul…
Stability theorems for multiplicities in graded -modules
Marino Romero, Nolan Wallach
In this paper, we prove several stability theorems for multiplicities of naturally defined representations of symmetric groups. The first such theorem states that if we consider th…
The dependence on parameters of the inverse functor to the -finite functor
Nolan R. Wallach
An interpretation of the Casselman-Wallach (C-W) Theorem is that the -finite functor is an isomorphism of categories from the category of finitely generated, admissible smooth F…
Harmonic differential forms for pseudo-reflection groups I. Semi-invariants
Joshua P. Swanson, Nolan R. Wallach
We give a type-independent construction of an explicit basis for the semi-invariant harmonic differential forms of an arbitrary pseudo-reflection group in characteristic zero. Our…