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商品詳細
Geometric Harmonic Analysis IV : Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis. 1st ed. 2023.
・ISBN 978-3-031-29178-4 hard EUR 159.99
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| 著者・編者 | Mitrea, Dorina / Mitrea, Irina / Mitrea, Marius, |
|---|---|
| シリーズ | Developments in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 992 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7129＞ |
解説
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.
Traditionally, the label "Calderon-Zygmund theory" has been applied to a distinguished body of works primarily pertaining to the mapping properties of singular integral operators on Lebesgue spaces, in various geometric settings. Volume IV amounts to a versatile Calderon-Zygmund theory for singular integral operators of layer potential type in open sets with uniformly rectifiable boundaries, considered on a diverse range of function spaces. Novel applications to complex analysis in several variables are also explored here.