Geometric Harmonic Analysis III: Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering (Developments in Mathematics, 74)
ISBN-13:
9783031227349
ISBN-10:
3031227344
Edition:
1st ed. 2023
Author:
Dorina Mitrea, Irina Mitrea, Marius Mitrea
Publication date:
2023
Publisher:
Springer
Format:
Hardcover
989 pages
FREE US shipping
Book details
ISBN-13:
9783031227349
ISBN-10:
3031227344
Edition:
1st ed. 2023
Author:
Dorina Mitrea, Irina Mitrea, Marius Mitrea
Publication date:
2023
Publisher:
Springer
Format:
Hardcover
989 pages
Summary
Geometric Harmonic Analysis III: Integral Representations, Calderón-Zygmund Theory, Fatou Theorems, and Applications to Scattering (Developments in Mathematics, 74) (ISBN-13: 9783031227349 and ISBN-10: 3031227344), written by authors
Dorina Mitrea, Irina Mitrea, Marius Mitrea, was published by Springer in 2023.
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Description
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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