Analysis in Positive Characteristic (Cambridge Tracts in Mathematics, Series Number 178) 1st Edition by Anatoly N. Kochubei (PDF)

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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.

User’s Reviews

Editorial Reviews: Review “It is quite remarkable to see how far differential formalism goes in an area very distant from where it arose. The book under review serves as a fine introduction to these new ideas.” David Goss, Mathematical Reviews Book Description A treatment of positive characteristic phenomena from an analytic viewpoint. About the Author Anatoly N. Kochubei is head of the department of nonlinear analysis at the Institute of Mathematics, National Academy of Sciences of Ukraine. Read more

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