Analysis in Positive Characteristic 2024 pdf epub mobi 电子书

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发表于2024-11-28

Analysis in Positive Characteristic 2024 pdf epub mobi 电子书

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出版者:

作者:Kochubei, Anatoly N.

出品人:

页数:220

译者:

出版时间:2009-3

价格:$ 100.57

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isbn号码:9780521509770

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Analysis in Positive Characteristic 2024 pdf epub mobi 电子书图书描述

Devoted to counterparts of classical structures of mathematical analysis in analysis over local fields of positive characteristic, this book treats positive characteristic phenomena from an analytic viewpoint. Building on the basic objects introduced by L. Carlitz - such as the Carlitz factorials, exponential and logarithm, and the orthonormal system of Carlitz polynomials - the author develops a kind of differential and integral calculi. He also expands on the basics of an analytic theory of (Carlitz's) differential equations, providing a useful foundation for the study of various special functions. The differential calculus is extended to a type of Rota's umbral calculus, and an investigation is made of the corresponding rings of differential operators. A theory of quasi-holonomic modules over these rings, having some common features with holonomic modules in the sense of Bernstein, is also connected to some special functions in the spirit of Zeilberger's theory.

Analysis in Positive Characteristic 2024 pdf epub mobi 电子书

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