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Geometric Harmonic Analysis III
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Geometric Harmonic Analysis III : Integral Representations, Calderon-Zygmund Theory, Fatou Theorems, and Applications to Scattering

2023 ed.

by Dorina Mitrea , Irina Mitrea , Marius Mitrea

Book Details

Format Paperback / Softback
Book Series Developments in Mathematics
ISBN-10 3031227379
ISBN-13 9783031227370
Edition 2023 ed.
Publisher Springer International Publishing AG
Imprint Springer International Publishing AG
Country of Manufacture GB
Country of Publication GB
Publication Date May 13th, 2024
Print length 972 Pages
Product Classification: Integral calculus & equations
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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.  

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