书目名称 | Geometric Harmonic Analysis III | 副标题 | Integral Representat | 编辑 | Dorina Mitrea,Irina Mitrea,Marius Mitrea | 视频video | | 概述 | Presents a comprehensive novel theory for singular integral operators in optimal geometrical settings.A great deal of applications are explored in detail.The key results are new, with complete, essent | 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 III is concerned with integral representation formulas for nullsolutions of elliptic PDEs, Calderón-Zygmund theory for singular integral operators, Fatou type theorems for systems of elliptic PDEs, and applications to acoustic and electromagnetic scattering. Overall, this amounts to a powerful and nuanced theory developed on uniformly rectifiable sets, which builds on the work of many predecessors... . | 出版日期 | Book 2023 | 关键词 | Divergence theorem; integration by parts; Stokes theorem; singular integral operators; function spaces; b | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-22735-6 | isbn_softcover | 978-3-031-22737-0 | isbn_ebook | 978-3-031-22735-6Series 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 |
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