Galois Theory of Difference Equations
This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzi...
Gardado en:
| Auteurs principaux: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1666 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Galois theory of difference equations, Marius van der Put, Michael F. Singer, Berlin, Springer, 1997, 1 vol. (VII-178 p.), Lecture notes in mathematics, 3-540-63243-3 • Galois Theory of Difference Equations, Texte imprimé, 9783662191774 |
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| 100 | 1 | |a Put, Marius van der, |d 1941-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Galois Theory of Difference Equations |c by Marius Put, Michael F. Singer. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1666 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Picard-Vessiot rings -- Algorithms for difference equations -- The inverse problem for difference equations -- The ring S of sequences -- An excursion in positive characteristic -- Difference modules over -- Classification and canonical forms -- Semi-regular difference equations -- Mild difference equations -- Examples of equations and galois groups -- Wild difference equations -- q-difference equations. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzinsky and the present work corrects and greatly generalizes their contributions. In addition results are presented concerning the inverse problem in Galois theory, effective computation of Galois groups, algebraic properties of sequences, phenomena in positive characteristics, and q-difference equations. The book is aimed at advanced graduate researchers and researchers. | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Galois, Théorie de | ||
| 650 | |a Algèbre | ||
| 650 | |a Équations aux différences | ||
| 700 | 1 | |a Singer, Michael F., |d 19..-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 011225998 |t Galois theory of difference equations |f Marius van der Put, Michael F. Singer |c Berlin |n Springer |d 1997 |p 1 vol. (VII-178 p.) |s Lecture notes in mathematics |z 3-540-63243-3 | |
| 776 | 0 | |t Galois Theory of Difference Equations |b Texte imprimé |z 9783662191774 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0096118 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-BP2HFBLX-P |z Accès sur la plateforme Istex | |
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