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Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces (Developments in Mathematics, 72, Band 1) - Hardcover

Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius

 
9783031059490: Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces (Developments in Mathematics, 72, Band 1)
Hardcover
ISBN 10: 3031059492 ISBN 13: 9783031059490
Verlag: Springer, 2022

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Dorina Mitrea, Irina Mitrea, Marius Mitrea, and Joel Shapiro are internationally recognized mathematicians with expertise spanning across the fields of Harmonic Analysis, Functional Analysis, and Partial Differential Equations. Dorina Mitrea, Irina Mitrea, and Marius Mitrea are Fellows of the American Mathematical Society and have collaborated extensively over the years. Their joint contributions include over a dozen of original research monographs, notably the comprehensive five-volume series Geometric Harmonic Analysis (Springer), The Hodge-Laplacian, now in its second edition (De Gruyter), Singular Integral Operators, Quantitative Flatness, and Boundary Problems (Birkhauser), Groupoid Metrization Theory (Birkhauser). Their work has significantly impacted harmonic analysis of geometric flavor. Joel Shapiro is a distinguished scholar renowned for his pioneering research in the topological and geometric aspects of functional analysis, particularly composition operators.

Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2022
Sprache
Englisch
ISBN 10 
3031059492
ISBN 13 
9783031059490
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
952
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