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Fourier Analysis on GL(n,R)

Stephen S. Gelbart
Proceedings of the National Academy of Sciences of the United States of America
Vol. 65, No. 1 (Jan. 15, 1970), pp. 14-18
Stable URL: http://www.jstor.org/stable/59721
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Fourier Analysis on GL(n,R)
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Abstract

Two problems of Fourier analysis on GL(n,R) are studied. The first concerns the decomposition of the additive Fourier operator in terms of the group representation theory of G. The second concerns the analytic continuation of certain zeta-functions defined on G. It is found that the generalized Gamma functions of Gelfand and Graev arise naturally in the solution of both these problems.

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