EBOOK - Geometric Harmonic Analysis III - Full Edition (Dorina Mitrea)
3 thg 2, 2025 | 16:04

EBOOK - Geometric Harmonic Analysis III - Full Edition (Dorina Mitrea)



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.


Table of contents (6 chapters)

Front Matter

Pages i-xvii

Download chapter PDF 

Integral Representations and Integral Identities

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 1-265

Calderón-Zygmund Theory on Uniformly Rectifiable Sets

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 267-632

Quantitative Fatou-Type Theorems in Arbitrary UR Domains

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 633-767

Green Functions and Uniqueness for Boundary Problems for Second-Order Systems

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 769-827

Green Functions and Poisson Kernels for the Laplacian

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 829-879

Scattering by Rough Obstacles

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 881-920

Back Matter

Pages 921-972










EBOOK - Geometric Harmonic Analysis III (Dorina Mitrea) 2023.


LINK DOWNLOAD (TÀI LIỆU VIP MEMBER)



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.


Table of contents (6 chapters)

Front Matter

Pages i-xvii

Download chapter PDF 

Integral Representations and Integral Identities

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 1-265

Calderón-Zygmund Theory on Uniformly Rectifiable Sets

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 267-632

Quantitative Fatou-Type Theorems in Arbitrary UR Domains

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 633-767

Green Functions and Uniqueness for Boundary Problems for Second-Order Systems

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 769-827

Green Functions and Poisson Kernels for the Laplacian

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 829-879

Scattering by Rough Obstacles

Dorina Mitrea, Irina Mitrea, Marius Mitrea

Pages 881-920

Back Matter

Pages 921-972










EBOOK - Geometric Harmonic Analysis III (Dorina Mitrea) 2023.


LINK DOWNLOAD (TÀI LIỆU VIP MEMBER)

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