Plancherel decomposition of Howe duality and Euler factorization of automorphic functionals
Plancherel decomposition of Howe duality and Euler factorization of automorphic functionals
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豪对偶性的 Plancherel 分解和自守泛函的欧拉分解
DOI：
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发表时间：
2016
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影响因子：
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通讯作者：
Y. Sakellaridis
中科院分区：
文献类型：
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作者：
Y. Sakellaridis
当不可约自同构表示写成局部表示的欧拉积π=⊗v‘πv时，有几个全局泛函是欧拉的，即：局部泛函的纯张量。这类泛函的精确因式分解是数学家感兴趣的问题，而且很自然地与L函数的特殊值有关。
There are several global functionals on irreducible automorphic representations which are Eulerian, that is: pure tensors of local functionals, when the representation is written as an Euler product π = ⊗v′πv of local representations. The precise factorization of such functionals is of interest to number theorists and is—naturally—very often related to special values of L-functions.