Analysis in Positive Characteristic

ISBN-13: 9780521509770 / Angielski / Twarda / 2009 / 220 str.

Anatoly N. Kochubei

Opis

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.

Recenzje

'… beautifully written, discuses some fascinating topics and its is surprisingly easy to read in view of the enormous amount of material presented in less than 200 pages.' Zentralblatt MATH

Spis treści

Preface; 1. Orthonormal systems and their applications; 2. Calculus; 3. Differential equations; 4. Special functions; 5. The Carlitz rings; Bibliography; Index.