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Geometric Harmonic Analysis IV - Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis (1st ed. 2023)
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Geometric Harmonic Analysis IV - Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis (1st ed. 2023)
Series: Developments in Mathematics, 75
Expected to ship within 12 - 17 working days
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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.Traditionally, the label
“Calderón-Zygmund theory” has been applied to a distinguished
body of works primarily pertaining to the mapping properties of
singular integral operators on Lebesgue spaces, in various
geometric settings. Volume IV amounts to a versatile
Calderón-Zygmund theory for singular integral operators of layer
potential type in open sets with uniformly rectifiable boundaries,
considered on a diverse range of function spaces. Novel
applications to complex analysis in several variables are also
explored here.
General
Imprint: |
Springer International Publishing AG
|
Country of origin: |
Switzerland |
Series: |
Developments in Mathematics, 75 |
Release date: |
July 2023 |
Firstpublished: |
2023 |
Authors: |
Dorina Mitrea
• Irina Mitrea
• Marius Mitrea
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Dimensions: |
235 x 155mm (L x W) |
Pages: |
992 |
Edition: |
1st ed. 2023 |
ISBN-13: |
978-3-03-129178-4 |
Categories: |
Books
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LSN: |
3-03-129178-6 |
Barcode: |
9783031291784 |
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