Geometric Harmonic Analysis IV: Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis

Author:   Dorina Mitrea ,  Irina Mitrea ,  Marius Mitrea
Publisher:   Springer International Publishing AG
Edition:   2023 ed.
Volume:   75
ISBN:  

9783031291814


Pages:   992
Publication Date:   10 July 2024
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Geometric Harmonic Analysis IV: Boundary Layer Potentials in Uniformly Rectifiable Domains, and Applications to Complex Analysis


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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.

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Author:   Dorina Mitrea ,  Irina Mitrea ,  Marius Mitrea
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2023 ed.
Volume:   75
ISBN:  

9783031291814


ISBN 10:   3031291816
Pages:   992
Publication Date:   10 July 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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