Overview
- Includes chapter-level summaries
- Features novel principal results in monograph format
- Contains applications to complex analysis, scattering, and PDEs
Part of the book series: Developments in Mathematics (DEVM, volume 72)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
- Divergence theorem
- Gauss-Green theorem
- Stokes theorem
- nontangential maximal function
- nontangentially accessible boundary
- Ahlfors regular domain
- NTA domain
- uniform domain
- Reifenberg flat domain
- regular SKT domain
- Riemannian manifold
- differential forms
- Hardy-Littlewood maximal function
- quasi-metric spaces
- spaces of homogenous type
- bounded mean oscillations
- vanishing mean oscillations
- Clifford algebras
- first-order system
- integration by parts
About this book
Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.
Authors and Affiliations
Bibliographic Information
Book Title: Geometric Harmonic Analysis I
Book Subtitle: A Sharp Divergence Theorem with Nontangential Pointwise Traces
Authors: Dorina Mitrea, Irina Mitrea, Marius Mitrea
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/978-3-031-05950-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-05949-0Published: 05 November 2022
Softcover ISBN: 978-3-031-05952-0Published: 06 November 2023
eBook ISBN: 978-3-031-05950-6Published: 04 November 2022
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: XXVIII, 924
Number of Illustrations: 24 b/w illustrations, 20 illustrations in colour