Cuspidal hypergeometric functions
Eric M. Opdam
Abstract
We prove the Plancherel formula for hypergeometric functions associated to a root system in the situation when the root multiplicities are negative (but close to 0). As a result we obtain a classification of the hypergeometric functions that are square integrable, and we find a closed formula for their square norm as a function of the root multiplicities.
Create a lesson
Related papers
Universally extendible characters
Benjamin Sambale
Gaudin from Cherednik
Matthew McMillan
Uniqueness of twisted linear periods over Archimedean division algebras
Yufeng Li, Junyan Xiao
Symplectic extension graphs and Ribet's lemma
Aniruddha Sudarshan
Index for a mutation loop
Tsukasa Ishibashi, Yuji Terashima
Minimal presentations of finite-dimensional representations of pseudocompact algebras
Christof Geiss, Carolin Hartung, Daniel Labardini-Fragoso et al.