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arXiv · 1808.10165

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

Sanjoy Pusti·Swagato K Ray
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Abstract

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

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Sanjoy Pusti, Swagato K Ray. 2018-08-30. Ramanujan's master theorem for radial sections of line bundle over noncompact symmetric spaces. https://arxiv.org/abs/1808.10165

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