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math.CA2012
Ramanujan's Master theorem for the hypergeometric Fourier transform on root systems
Gestur Olafsson, Angela Pasquale
Ramanujan's Master theorem states that, under suitable conditions, the Mellin transform of an alternating power series provides an interpolation formula for the coefficients of thi…
math.RT2012★ 3 cited
Separating Vector Bundle Sections by Invariant Means
Gestur Olafsson, Joseph A. Wolf
We sharpen the construction of representation space in the paper "Principal Series Representations of Infinite Dimensional Lie Groups II: Construction of Induced Representations".…
math.FA2012
Analytic and Group-Theoretic Aspects of the Cosine Transform
G. Ólafsson, A. Pasquale, B. Rubin
This is a brief survey of recent results by the authors devoted to one of the most important operators of integral geometry. Basic facts about the analytic family of cosine transfo…