English

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

Functional Analysis 2018-08-31 v1

Abstract

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

Keywords

Cite

@article{arxiv.1808.10165,
  title  = {Ramanujan's master theorem for radial sections of line bundle over noncompact symmetric spaces},
  author = {Sanjoy Pusti and Swagato K Ray},
  journal= {arXiv preprint arXiv:1808.10165},
  year   = {2018}
}