Geometric Harmonic Analysis I - Dorina Mitrea (Buch)

Dorina Mitrea ,

Geometric Harmonic Analysis I

Buch

A Sharp Divergence Theorem with Nontangential Pointwise Traces

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Springer International Publishing, 11/2023
Einband: Kartoniert / Broschiert, Paperback
Sprache: Englisch
ISBN-13: 9783031059520
Bestellnummer: 11674249
Umfang: 952 Seiten
Nummer der Auflage: 23001
Auflage: 1st ed. 2022
Gewicht: 1410 g
Maße: 235 x 155 mm
Stärke: 51 mm
Erscheinungstermin: 6.11.2023
Serie: Developments in Mathematics - Band 72
Achtung: Artikel ist nicht in deutscher Sprache!

Weitere Ausgaben von Geometric Harmonic Analysis I

Klappentext

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.