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Geometric Analysis on Real Analytic Manifolds
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Catalogue Information
Field name
Details
Dewey Class
515.9
Title
Geometric Analysis on Real Analytic Manifolds ([EBook]) / Andrew D. Lewis
Author
Lewis, Andrew D.
Publication
Cham : Springer International Publishing , 2023
Physical Details
: online resource (xv, 314 p.)
Series
Lecture Notes in Mathematics
; 2333
ISBN
9783031379130
Summary Note
This monograph provides some useful tools for performing global geometric analysis on real analytic manifolds. At the core of the methodology of the book is a variety of descriptions for the topologies for the space of real analytic sections of a real analytic vector bundle and for the space of real analytic mappings between real analytic manifolds. Among the various descriptions for these topologies is a development of geometric seminorms for the space of real analytic sections. To illustrate the techniques in the book, a number of fundamental constructions in differential geometry are shown to induce continuous mappings on spaces of real analytic sections and mappings. Aimed at researchers at the level of Doctoral students and above, the book introduces the reader to the challenges and opportunities of real analytic analysis and geometry.(provided by publisher):
Mode of acces to digital resource
Digital reproduction.- Cham : Springer International Publishing, 2023. - Digital book. Cham Springer Nature 2023. - 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/10.1007/978-3-031-37913-0
Links to Related Works
Subject References:
Analysis on Manifolds
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Functional Analysis
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Real Analytic Analysis
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Authors:
Lewis, Andrew D.
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Series:
Lecture Notes in Mathematics
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Classification:
515.9
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