On Connes’ trace formula for the Hankel transformation of order ?1/2 |
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| Authors: | XianJin Li |
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| Institution: | 1. Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA
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| Abstract: | A local Hankel transformation of order ?1/2 is defined for every finite place of the field of rational numbers. Its inversion formula and the Plancherel type theorem are obtained. A Connes type trace formula is given for each local Hankel transformation of order ?1/2. An S-local Connes type trace formula is derived for the S-local Hankel transformation of order ?1/2. These formulas are generalizations of Connes?? corresponding trace formulas in 1999. |
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