Geometric Harmonic Analysis: Integral Representations, Calderón-zygmund Theory, Fatou Theorems, and Applications to Scattering (3) - Couverture rigide

Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius

Couverture rigide

ISBN 10 : 3031227344 ISBN 13 : 9783031227349

Editeur : Springer International Publishing AG, 2023

Synopsis

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.

A propos du livre

À propos de l?auteur

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.

Détails de l'édition

• Éditeur: Springer International Publishing AG
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 3031227344
• ISBN 13: 9783031227349
• Reliure: Relié
• Nombre de pages: 989
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne