Complexes of Differential Operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1995
|
| Series: | Mathematics and Its Applications
340 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book gives a systematic account of the facts concerning complexes of differential operators on differentiable manifolds. The central place is occupied by the study of general complexes of differential operators between sections of vector bundles. Although the global situation often contains nothing new as compared with the local one (that is, complexes of partial differential operators on an open subset of ]Rn), the invariant language allows one to simplify the notation and to distinguish better the algebraic nature of some questions. In the last 2 decades within the general theory of complexes of differential operators, the following directions were delineated: 1) the formal theory; 2) the existence theory; 3) the problem of global solvability; 4) overdetermined boundary problems; 5) the generalized Lefschetz theory of fixed points, and 6) the qualitative theory of solutions of overdetermined systems. All of these problems are reflected in this book to some degree. It is superfluous to say that different directions sometimes whimsically intersect. Considerable attention is given to connections and parallels with the theory of functions of several complex variables. One of the reproaches avowed beforehand by the author consists of the shortage of examples. The framework of the book has not permitted their number to be increased significantly. Certain parts of the book consist of results obtained by the author in 1977-1986. They have been presented in seminars in Krasnoyarsk, Moscow, Ekaterinburg, and N ovosi birsk |
| Physical Description: | 1 Online-Ressource (XVIII, 396 p) |
| ISBN: | 9789401103275 9789401041447 |
| DOI: | 10.1007/978-94-011-0327-5 |
Staff View
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| isbn | 9789401103275 9789401041447 |
| language | English |
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| spelling | Tarkhanov, Nikolai N. Verfasser aut Complexes of Differential Operators by Nikolai N. Tarkhanov Dordrecht Springer Netherlands 1995 1 Online-Ressource (XVIII, 396 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 340 This book gives a systematic account of the facts concerning complexes of differential operators on differentiable manifolds. The central place is occupied by the study of general complexes of differential operators between sections of vector bundles. Although the global situation often contains nothing new as compared with the local one (that is, complexes of partial differential operators on an open subset of ]Rn), the invariant language allows one to simplify the notation and to distinguish better the algebraic nature of some questions. In the last 2 decades within the general theory of complexes of differential operators, the following directions were delineated: 1) the formal theory; 2) the existence theory; 3) the problem of global solvability; 4) overdetermined boundary problems; 5) the generalized Lefschetz theory of fixed points, and 6) the qualitative theory of solutions of overdetermined systems. All of these problems are reflected in this book to some degree. It is superfluous to say that different directions sometimes whimsically intersect. Considerable attention is given to connections and parallels with the theory of functions of several complex variables. One of the reproaches avowed beforehand by the author consists of the shortage of examples. The framework of the book has not permitted their number to be increased significantly. Certain parts of the book consist of results obtained by the author in 1977-1986. They have been presented in seminars in Krasnoyarsk, Moscow, Ekaterinburg, and N ovosi birsk Mathematics Global analysis Differential equations, partial Global Analysis and Analysis on Manifolds Partial Differential Equations Several Complex Variables and Analytic Spaces Mathematik Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd rswk-swf Differentialoperator (DE-588)4012251-7 gnd rswk-swf Komplex Algebra (DE-588)4164880-8 gnd rswk-swf Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 s Komplex Algebra (DE-588)4164880-8 s 1\p DE-604 Differentialoperator (DE-588)4012251-7 s 2\p DE-604 https://doi.org/10.1007/978-94-011-0327-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tarkhanov, Nikolai N. Complexes of Differential Operators Mathematics Global analysis Differential equations, partial Global Analysis and Analysis on Manifolds Partial Differential Equations Several Complex Variables and Analytic Spaces Mathematik Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Differentialoperator (DE-588)4012251-7 gnd Komplex Algebra (DE-588)4164880-8 gnd |
| subject_GND | (DE-588)4012269-4 (DE-588)4012251-7 (DE-588)4164880-8 |
| title | Complexes of Differential Operators |
| title_auth | Complexes of Differential Operators |
| title_exact_search | Complexes of Differential Operators |
| title_full | Complexes of Differential Operators by Nikolai N. Tarkhanov |
| title_fullStr | Complexes of Differential Operators by Nikolai N. Tarkhanov |
| title_full_unstemmed | Complexes of Differential Operators by Nikolai N. Tarkhanov |
| title_short | Complexes of Differential Operators |
| title_sort | complexes of differential operators |
| topic | Mathematics Global analysis Differential equations, partial Global Analysis and Analysis on Manifolds Partial Differential Equations Several Complex Variables and Analytic Spaces Mathematik Differenzierbare Mannigfaltigkeit (DE-588)4012269-4 gnd Differentialoperator (DE-588)4012251-7 gnd Komplex Algebra (DE-588)4164880-8 gnd |
| topic_facet | Mathematics Global analysis Differential equations, partial Global Analysis and Analysis on Manifolds Partial Differential Equations Several Complex Variables and Analytic Spaces Mathematik Differenzierbare Mannigfaltigkeit Differentialoperator Komplex Algebra |
| url | https://doi.org/10.1007/978-94-011-0327-5 |
| work_keys_str_mv | AT tarkhanovnikolain complexesofdifferentialoperators |