| Dewey Class |
516.35 |
| Titel |
Topics in Global Real Analytic Geometry ( EBook/) / by Francesca Acquistapace, Fabrizio Broglia, José F. Fernando. |
| Verfasser |
Acquistapace, Francesca |
| Added Personal Name |
Broglia, Fabrizio |
| Fernando, José F. |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. 2022. |
| Veröffentl |
Cham : : Springer International Publishing : : Imprint: Springer, , 2022. |
| Physical Details |
XVII, 273 p. 3 illus. : online resource. |
| Reihe |
Springer monographs in mathematics 2196-9922 |
| ISBN |
9783030966669 |
| Summary Note |
This book provides an exposition of the theory of analytic C-spaces developed by Cartan, Whitney and Tognoli and describes some central results in global real analytic geometry, such as Nullstellensatze and Positivstellensatze, including Forster's global Nullstellensatz for Stein algebras. It emphasizes the central role of Hilbert's 17th Problem in this context, devoting a chapter to the state of the art on this difficult problem. The focus then turns to a class of semianalytic sets defined by countably many global real analytic functions, which is stable under topological operations and satisfies a direct image theorem. A smaller subclass admits a decomposition into irreducible components comparable to that for semialgebraic sets. The last chapter is dedicated to the extension of some of the preceding results to smooth functions and quasi-analytic Denjoy–Carleman functions. The book is addressed to researchers and Ph.D students interested in complex analysis and real analytic geometry.: |
| Mode of acces to digital resource |
Digital reproduction.- |
| Cham : |
| Springer International Publishing, |
| 2022. - |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.1007/978-3-030-96666-9 |
| LINKS ZU 'VERWANDTEN WERKEN |
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