Abstract
It is shown that the theorem ofWeil-Cartier ([10, Th. 5], [4, Th. 3]) is connected with a homomorphism of groups of unitary operators. The existence proof for this homomorphism is based on simple results in harmonic analysis and on an extension property of the Schwartz-Bruhat functions. Some applications are given, including a result ofIgusa's [6, Th. 3] and the reciprocity formula ofKrazer-Siegel [9, Th. 2]. An outline of the proof has been given in [8].
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Reiter, H. Über den Satz von Weil-Cartier. Monatsh Math 86, 13–62 (1978). https://doi.org/10.1007/BF01300054
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DOI: https://doi.org/10.1007/BF01300054