Geometric Harmonic Analysis I - A Sharp Divergence Theorem with Nontangential Pointwise Traces (Hardcover, 1st ed. 2022)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Developments in Mathematics, 72
Release date:	November 2022
First published:	2022
Authors:	Dorina Mitrea • Irina Mitrea • Marius Mitrea
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	924
Edition:	1st ed. 2022
ISBN-13:	978-3-03-105949-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN:	3-03-105949-2
Barcode:	9783031059490

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