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The theta correspondence for similitudes

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Abstract

In this paper we investigate the theta correspondence for similitudes over a nonarchimedean local field. We show that the two main approaches to a theta correspondence for similitudes from the literature are essentially the same, and we prove that a version of strong Howe duality holds for both constructions.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Canada

    Brooks Roberts

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  1. Brooks Roberts
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Additional information

During the period of this work the author was a Research Associate with the NSF 1992–1994 special projectTheta Functions, Dual Pairs, and Automorphic Forms at the University of Maryland, College Park

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Roberts, B. The theta correspondence for similitudes. Israel J. Math. 94, 285–317 (1996). https://doi.org/10.1007/BF02762709

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  • DOI: https://doi.org/10.1007/BF02762709

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