215 citations · 550 across the 60 of their papers we have counts for
69 papers
On the Classification of Stein spaces with Bergman-Einstein metrics
Soumya Ganguly, Siddhartha Sahi
For every , we prove that the Bergman metric on the regular locus of a finite ball quotient , where is finite and fixed-point-free,…
The Opdam-Cherednik kernel is the Laplace transform of a positive measure
Colin McSwiggen, Siddhartha Sahi
We prove that the Opdam-Cherednik kernel, also known as the nonsymmetric Opdam hypergeometric function, can be written as the Laplace transform of a positive measure supported on t…
The Harish-Chandra isomorphism for supersymmetric spaces and ghost distributions
Shifra Reif, Siddhartha Sahi, Vera Serganova +1
We prove the Harish-Chandra isomorphism theorem for supersymmetric spaces, describing the polynomial algebra of eigenvalues of invariant differential operators. The polynomials obt…
Majorization Inequalities from Logarithmic Convexity
Colin McSwiggen, Siddhartha Sahi
Majorization inequalities for symmetric polynomials have interested mathematicians for centuries, from the AM-GM inequality for two variables going back at least to Baudhāyana's Śu…
Classification of irreducible real modules of real Lie superalgebras
Siddhartha Sahi, Hadi Salmasian, Vera Serganova
We classify irreducible finite-dimensional modules of a collection of real Lie superalgebras that includes the simple ones, their classical variants, complex Lie superalgebras afte…
A Characterization of Macdonald's Jack Hypergeometric Series and via Differential Equations
Hong Chen, Siddhartha Sahi
In a widely circulated manuscript from the 1980s, now available on the arXiv, I.~G.~Macdonald introduced certain multivariable hypergeometric series and…