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Analysis in Positive Characteristic

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Analysis in Positive Characteristic

950 kr.
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
  • Matematik & Statistik
  • Bog
  • Indbundet
  • English
  • Anatoly N. Kochubei
Læs mere
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.
Upptäck mer inom Bøger
  • Genre
    Matematik & Statistik
  • Formater
    Bog
  • EAN
    9780521509770
  • Udgiver
    Cambridge University Press
  • Bogbind
    Indbundet
  • Sprog
    English
  • samma
    9780521509770
  • Læremiddel
    0
  • Serienummer
    Cambridge Tracts in Mathematics
  • Størrelse
    220
  • Forfatter
    Anatoly N. Kochubei
0
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