LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Topics in Global Real Analytic Geometry ( EBook/) / by Francesca Acquistapace, Fabrizio Broglia, José F. Fernando.
Author	Acquistapace, Francesca
Added Personal Name	Broglia, Fabrizio
Added Personal Name	Fernando, José F.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2022.
Physical Details	XVII, 273 p. 3 illus. : online resource.
Series	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 to Related Works	Subject References: Algebraic Geometry . Authors: Acquistapace, Francesca . author . Broglia, Fabrizio . Fernando, José F. . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 516.35 .

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Topics in Global Real Analytic Geometry

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