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Geometric harmonic analysis.III,Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometric harmonic analysis.by Dorina Mitrea, Irina Mitrea, Marius Mitrea.
其他題名:	Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering
作者:	Mitrea, Dorina.
其他作者:	Mitrea, Irina.
出版者:	Cham :Springer International Publishing :2023.
面頁冊數:	1 online resource (xvii, 972 p.) :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Divergence theorem.
電子資源:	https://doi.org/10.1007/978-3-031-22735-6
ISBN:	9783031227356$q(electronic bk.)

Geometric harmonic analysis.III,Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering
Mitrea, Dorina.

Geometric harmonic analysis.III,Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering[electronic resource] /Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scatteringby Dorina Mitrea, Irina Mitrea, Marius Mitrea. - Cham :Springer International Publishing :2023. - 1 online resource (xvii, 972 p.) :ill., digital ;24 cm. - Developments in mathematics,v. 7742197-795X ;. - Developments in mathematics ;v.25..

Introduction and Statement of Main Results Concerning the Divergence Theorem -- Examples, Counterexamples, and Additional Perspectives -- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis -- Open Sets with Locally Finite Surface Measures and Boundary Behavior -- Proofs of the Main Results Pertaining to the Divergence Theorem -- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.

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.

ISBN: 9783031227356$q(electronic bk.)

Standard No.: 10.1007/978-3-031-22735-6doiSubjects--Topical Terms:

669000
Divergence theorem.

LC Class. No.: QA433

Dewey Class. No.: 515.4

Geometric harmonic analysis.III,Integral representations, Calderon-Zygmund theory, Fatou theorems, and applications to scattering
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520 $a 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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