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Analysis in Positive Characteristic

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Analysis in Positive Characteristic

Analysis in Positive Characteristic

Anatoly N. Kochubei, National Academy of Sciences of Ukraine
April 2009
Hardback
9780521509770
$142.00
USD
Hardback
USD
eBook
    Description

    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.

    • The first treatment of positive characteristic phenomena from the analytic viewpoint
    • Provides a foundation for the study of various special functions
    • For researchers and graduate students in mathematical analysis and number theory

    Reviews & endorsements

    "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

    See more reviews

    Product details

    May 2009
    Adobe eBook Reader
    9780511512469
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Contents

    Table of Contents

    • Preface
    • 1. Orthonormal systems and their applications
    • 2. Calculus
    • 3. Differential equations
    • 4. Special functions
    • 5. The Carlitz rings
    • Bibliography
    • Index.
      • Show more
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    About the authors
      Author
    • Anatoly N. Kochubei , National Academy of Sciences of Ukraine

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

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