Ramanujan's master theorem for radial sections of line bundle over noncompact symmetric spaces

2018/08/30 by Pusti, Sanjoy, Ray, Swagato K
#22E30 #43A85 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1808.10165

Abstract

We prove analogues of Ramanujan's Master theorem for the radial sections of the line bundles over the Poincaré upper half plane SL(2, \R)/SO(2) and over the complex hyperbolic spaces \mathrm SU(1, n)/ S(U(1) × U(n)).

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