Let O denote the ring of integers of a local field. In this note we prove an ร 4 ฯฑ approximation theorem for the Riesz type kernels โฅ over O. The proof , , n ns1 ลฝ . y1 requires a sharp estimate of the Dirichlet kernel D x on P \_ O, which may also n have independent interest. As a consequence we so
โฆ LIBER โฆ
A Resolution of the Residue Field over Arbitrary Monomial Rings
โ Scribed by Hara Charalambous
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 128 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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If F is the finite field of characteristic p and order q s p , let F F q be the q category whose objects are functors from finite dimensional F -vector spaces to q F -vector spaces, and with morphisms the natural transformations between such q functors. ลฝ . A fundamental object in F F q is the injec