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A Fourier transform
theorem on nilmanifolds and nil-theta functions
Richard Cole Penney |
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Vol. 103 (1982), No. 2, 539–568
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Abstract |
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A theorem describing the image of the Euclidean Fourier transform on certain nilmanifolds is proven. As an application, we compute the Fourier transform of a certain class of distributions on a manifold which is analogous with the class of classical theta functions on C. It is shown that our theta functions satisfy a functional equation which generalizes the functional equation satisfied by the Jacobi theta functions. |
Mathematical Subject Classification 2000
Primary: 22E30
Secondary: 14K25, 22E25
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Milestones
Received: 15 January 1980
Published: 1 December 1982
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Authors |
| Richard Cole Penney | |
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