Hurry, item low in stock!

Analysis in positive characteristic - Anatoly N. Kochubei

9780521509770
Hurry only 1 in stock!
FREE Delivery on ALL Orders!
Title
Analysis in positive characteristic
Author
Anatoly N. Kochubei
format
Hardback
Publisher
Cambridge University Press
Language
English
UK Publication Date
20090305

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.

We are Rated Excellent on Trustpilot
Here's what you say about us...

Anatoly N. Kochubei is head of the department of nonlinear analysis at the Institute of Mathematics, National Academy of Sciences of Ukraine.

'… 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

Type
BOOK
Keyword Index
Mathematical analysis.
Country of Publication
England
Number of Pages
210

FREE Delivery on all Orders!