Analysis in positive characteristic
(eBook)
Author:
Series:
Cambridge tracts in mathematics ; volume 178.
Published:
Cambridge, UK ; New York : Cambridge Univ. Press, ©2009.
Format:
eBook
ISBN:
9780511517778, 0511517777, 9780511515187, 0511515189, 9780511575624, 0511575629
Physical Desc:
1 online resource (ix, 210 pages)
Status:
Ebsco (CCU)
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.
Copies
Ebsco (CCU)
Subjects
LC Subjects
OCLC Fast Subjects
Other Subjects
Citations
APA Citation (style guide)
Kochubei, A. N. (2009). Analysis in positive characteristic. Cambridge, UK ; New York, Cambridge Univ. Press.
Chicago / Turabian - Author Date Citation (style guide)Kochubei, Anatoly N. 2009. Analysis in Positive Characteristic. Cambridge, UK ; New York, Cambridge Univ. Press.
Chicago / Turabian - Humanities Citation (style guide)Kochubei, Anatoly N, Analysis in Positive Characteristic. Cambridge, UK ; New York, Cambridge Univ. Press, 2009.
MLA Citation (style guide)Kochubei, Anatoly N. Analysis in Positive Characteristic. Cambridge, UK ; New York, Cambridge Univ. Press, 2009.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
More Copies In Prospector
Loading Prospector Copies...
More Details
Language:
English
Notes
Bibliography
Includes bibliographical references (pages 203-208) and index.
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.
Staff View
Grouped Work ID:
4b2856f2-becf-8735-b024-eb524fc186a2
Record Information
| Last File Modification Time | Apr 05, 2024 09:20:36 PM |
|---|---|
| Last Grouped Work Modification Time | Apr 05, 2024 09:12:39 PM |
MARC Record
| LEADER | 05107cam a2200697 a 4500 | ||
|---|---|---|---|
| 001 | ocn352874298 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 090527s2009 enk ob 001 0 eng d | ||
| 040 | |a N$T|b eng|e pn|c N$T|d OCLCQ|d OSU|d CDX|d E7B|d OCLCQ|d IDEBK|d OCLCQ|d REDDC|d OCLCQ|d DEBSZ|d YDXCP|d OCLCQ|d OCLCF|d OCLCQ|d UAB|d OCLCQ|d OL$|d UIU|d UKAHL|d OCLCQ|d OCLCO|d CN6UV|d OCLCO|d OCLCQ|d OCLCO|d OCLCL | ||
| 019 | |a 398473760|a 647766557|a 661015977|a 741249345 | ||
| 020 | |a 9780511517778|q (electronic bk.) | ||
| 020 | |a 0511517777|q (electronic bk.) | ||
| 020 | |a 9780511515187|q (ebook) | ||
| 020 | |a 0511515189|q (ebook) | ||
| 020 | |a 9780511575624 | ||
| 020 | |a 0511575629 | ||
| 020 | |z 9780521509770|q (hbk.) | ||
| 020 | |z 0521509777|q (hbk.) | ||
| 029 | 1 | |a CDX|b 10310390 | |
| 029 | 1 | |a DEBSZ|b 372882307 | |
| 035 | |a (OCoLC)352874298|z (OCoLC)398473760|z (OCoLC)647766557|z (OCoLC)661015977|z (OCoLC)741249345 | ||
| 050 | 4 | |a QA300|b .K3155 2009eb | |
| 072 | 7 | |a MAT|x 005000|2 bisacsh | |
| 072 | 7 | |a MAT|x 034000|2 bisacsh | |
| 072 | 7 | |a PBKV|2 bicssc | |
| 082 | 0 | 4 | |a 515|2 22 |
| 049 | |a MAIN | ||
| 100 | 1 | |a Kochubei, Anatoly N. | |
| 245 | 1 | 0 | |a Analysis in positive characteristic /|c Anatoly N. Kochubei. |
| 260 | |a Cambridge, UK ;|a New York :|b Cambridge Univ. Press,|c ©2009. | ||
| 300 | |a 1 online resource (ix, 210 pages) | ||
| 336 | |a text|b txt|2 rdacontent | ||
| 337 | |a computer|b c|2 rdamedia | ||
| 338 | |a online resource|b cr|2 rdacarrier | ||
| 490 | 1 | |a Cambridge tracts in mathematics ;|v 178 | |
| 504 | |a Includes bibliographical references (pages 203-208) and index. | ||
| 505 | 0 | |a Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 Orthonormal systems and their applications -- 1.1 Basic notions -- 1.2 Additive Carlitz polynomials -- 1.3 Hyperdifferentiations -- 1.4 The digit principle -- 1.5 Finite places of a global function field -- 1.6 The Carlitz module -- 1.7 Canonical commutation relations -- 1.8 Comments -- 2 Calculus -- 2.1 Fq-Linear calculus -- 2.2 Umbral calculus -- 2.3 Locally analytic functions -- 2.4 General smooth functions -- 2.5 Entire functions -- 2.6 Measures and divided power series -- 3 Differential equations -- 3.1 Existence and uniqueness theorems -- 3.2 Strongly nonlinear equations -- 3.3 Regular singularity -- 3.4 Evolution equations -- 3.5 Comments -- 4 Special functions -- 4.1 Hypergeometric functions -- 4.2 Analogs of the Bessel functions and Jacobi polynomials -- 4.3 Polylogarithms -- 4.4 K-binomial coefficients -- 4.5 Overconvergence properties -- 4.6 Comments -- 5 The Carlitz rings -- 5.1 Algebraic preliminaries -- 5.2 The Carlitz rings -- 5.3 The ring A1 -- 5.4 Quasi-holonomic modules -- 5.5 Comments -- Bibliography -- Index. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 6 | |a Analyse mathématique. | |
| 650 | 7 | |a MATHEMATICS|x Calculus.|2 bisacsh | |
| 650 | 7 | |a MATHEMATICS|x Mathematical Analysis.|2 bisacsh | |
| 650 | 7 | |a Mathematical analysis|2 fast | |
| 758 | |i has work:|a Analysis in positive characteristic (Text)|1 https://id.oclc.org/worldcat/entity/E39PCGkwkPyFTgHVm7f6KChDmb|4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version:|a Kochubei, Anatoly N.|t Analysis in positive characteristic.|d Cambridge, UK ; New York : Cambridge Univ. Press, ©2009|z 9780521509770|z 0521509777|w (OCoLC)232226431 |
| 830 | 0 | |a Cambridge tracts in mathematics ;|v 178. | |
| 856 | 4 | 0 | |u http://ezproxy.ccu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=273779 |
| 938 | |a Askews and Holts Library Services|b ASKH|n AH13425037 | ||
| 938 | |a Askews and Holts Library Services|b ASKH|n AH28320335 | ||
| 938 | |a Coutts Information Services|b COUT|n 10310390 | ||
| 938 | |a EBSCOhost|b EBSC|n 273779 | ||
| 938 | |a YBP Library Services|b YANK|n 3033771 | ||
| 938 | |a YBP Library Services|b YANK|n 3050062 | ||
| 938 | |a YBP Library Services|b YANK|n 3277558 | ||
| 938 | |a YBP Library Services|b YANK|n 3029068 | ||
| 949 | 0 | 1 | |h 9|l cceb|s j|t 188|w EBSCO Academic : External |
| 994 | |a 92|b FCX | ||
