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THE CLASSICAL UMBRAL CALCULUS AND THE FLOW OF A DRINFELD MODULE.
- Source :
- Transactions of the American Mathematical Society; Feb2017, Vol. 369 Issue 2, p1265-1289, 25p
- Publication Year :
- 2017
-
Abstract
- David Goss developed a very general Fourier transform in additive harmonic analysis in the function field setting. In order to introduce the Fourier transform for continuous characteristic p-valued functions on Z<subscript>p</subscript>, Goss introduced and studied an analogue of flows in finite characteristic. In this paper, we use another approach to study flows in finite characteristic. We recast the notion of a flow in the language of the classical umbral calculus, which allows us to generalize the formula for flows first proved by Goss to a more general setting. We study duality between flows using the classical umbral calculus, and show that the duality notion introduced by Goss seems to be a natural one. We also formulate a question of Goss about the exact relationship between two flows of a Drinfeld module in the language of the classical umbral calculus, and give a partial answer to it. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 369
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 119552299
- Full Text :
- https://doi.org/10.1090/tran/6763