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Analysis in Positive Characteristic

$131.00 (C)

Part of Cambridge Tracts in Mathematics

  • Date Published: April 2009
  • availability: Available
  • format: Hardback
  • isbn: 9780521509770

$ 131.00 (C)
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About the Authors
  • 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
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    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

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    Product details

    • Date Published: April 2009
    • format: Hardback
    • isbn: 9780521509770
    • length: 220 pages
    • dimensions: 235 x 160 x 16 mm
    • weight: 0.47kg
    • availability: Available
  • Table of Contents

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

  • 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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