书目名称 | Geometric Harmonic Analysis I |
副标题 | A Sharp Divergence T |
编辑 | Dorina Mitrea,Irina Mitrea,Marius Mitrea |
视频video | |
概述 | Includes chapter-level summaries.Features novel principal results in monograph format.Contains applications to complex analysis, scattering, and PDEs |
丛书名称 | Developments in Mathematics |
图书封面 |  |
描述 | This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations..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.. |
出版日期 | Book 2022 |
关键词 | Divergence theorem; Gauss-Green theorem; Stokes theorem; nontangential maximal function; nontangentially |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-05950-6 |
isbn_softcover | 978-3-031-05952-0 |
isbn_ebook | 978-3-031-05950-6Series ISSN 1389-2177 Series E-ISSN 2197-795X |
issn_series | 1389-2177 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |