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Geometric Harmonic Analysis I

A Sharp Divergence Theorem with Nontangential Pointwise Traces

Dorina Mitrea Irina Mitrea Marius Mitrea

$329.95   $263.71

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English
Springer International Publishing AG
06 November 2023
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 I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.
By:   , ,
Imprint:   Springer International Publishing AG
Country of Publication:   Switzerland
Edition:   2022 ed.
Volume:   72
Dimensions:   Height: 235mm,  Width: 155mm, 
Weight:   1.430kg
ISBN:   9783031059520
ISBN 10:   3031059522
Series:   Developments in Mathematics
Pages:   924
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active

Reviews for Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces

“The theory is developed in a consistent manner, and the motivation behind the results and tools is made clear to the reader. All of the main results and also a vast majority of the auxiliary results come with full and carefully written proofs, making the book highly self-contained. Thus this work can be a useful and enjoyable reference. …” (Juha Lehrbäck, Mathematical Reviews, August, 2024)


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