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

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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 (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.

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Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces is written by Dorina Mitrea; Irina Mitrea; Marius Mitrea and published by Springer. The Digital and eTextbook ISBNs for Geometric Harmonic Analysis I are 9783031059506, 3031059506 and the print ISBNs are 9783031059490, 3031059492.