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Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces (Developments in Mathematics, 72)

Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces (Developments in Mathematics, 72)

Marius Mitrea
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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 which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.
Language
English
Pages
952
Format
Paperback
Release
November 19, 2023
ISBN 13
9783031059520

Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces (Developments in Mathematics, 72)

Marius Mitrea
0/5 ( ratings)
Read Download
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 which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.
Language
English
Pages
952
Format
Paperback
Release
November 19, 2023
ISBN 13
9783031059520

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