Analysis in positive characteristic
Author:
Series:
Cambridge tracts in mathematics volume 178
Publisher:
Cambridge Univ. Press
Pub. Date:
©2009
Language:
English
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. 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.
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ISBN:
9780511515187
9780511517778
9780511575624
9780511517778
9780511575624
Staff View
Grouping Information
Grouped Work ID | 4b2856f2-becf-8735-b024-eb524fc186a2 |
---|---|
Grouping Title | analysis in positive characteristic |
Grouping Author | anatoly n kochubei |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-05 21:12:39PM |
Last Indexed | 2024-05-03 01:04:00AM |
Solr Fields
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accelerated_reader_reading_level
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author
Kochubei, Anatoly N.
author_display
Kochubei, Anatoly N.
display_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. 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.
format_category_ccu
eBook
format_ccu
eBook
id
4b2856f2-becf-8735-b024-eb524fc186a2
isbn
9780511515187
9780511517778
9780511575624
9780511517778
9780511575624
last_indexed
2024-05-03T07:04:00.200Z
lexile_score
-1
literary_form
Non Fiction
literary_form_full
Non Fiction
primary_isbn
9780511515187
publishDate
2009
publisher
Cambridge Univ. Press
recordtype
grouped_work
series
Cambridge tracts in mathematics
series_with_volume
Cambridge tracts in mathematics|178
subject_facet
Analyse mathématique
Electronic books
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis
Mathematical analysis
Electronic books
MATHEMATICS -- Calculus
MATHEMATICS -- Mathematical Analysis
Mathematical analysis
title_display
Analysis in positive characteristic
title_full
Analysis in positive characteristic / Anatoly N. Kochubei
title_short
Analysis in positive characteristic
topic_facet
Analyse mathématique
Calculus
MATHEMATICS
Mathematical Analysis
Mathematical analysis
Calculus
MATHEMATICS
Mathematical Analysis
Mathematical analysis
Solr Details Tables
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