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Geometric Harmonic Analysis III

Name: Geometric Harmonic Analysis III
Brand: Springer International Publishing
SKU: 45982002
Price: 214.29 EUR
Availability: InStock
Author: Marius Mitrea
ISBN: 9783031227370

Marius Mitrea

Irina Mitrea

Language

English

Book Paperback

Libristo code: 45982002

Publishers Springer International Publishing, May 2024

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theore... Full description

Libristo code: 45982002

524 b

214.29 € VAT included

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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.