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An Infinite Order Whittaker Function

Published online by Cambridge University Press:  20 November 2018

Mark McKee*
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA, mmckee@math.ou.edu
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Abstract

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In this paper we construct a flat smooth section of an induced space $I(s,\eta )$ of $S{{L}_{2}}\left( \mathbb{R} \right)$ so that the attached Whittaker function is not of finite order. An asymptotic method of classical analysis is used.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2009

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